## Differential Equations and Dynamical Systems

### International Journal for Theory, Real World Modelling and Simulations. An Official Publication of Foundation for Scientific Research and Technological Innovation

 Short Title: Differ. Equ. Dyn. Syst. Publisher: Springer India, New Delhi, Delhi, India ISSN: 0971-3514; 0974-6870/e Online: http://link.springer.com/journal/volumesAndIssues/12591 Comments: Indexed cover-to-cover
 Documents Indexed: 826 Publications (since 1993) References Indexed: 465 Publications with 11,816 References.
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### Fields

 480 Ordinary differential equations (34-XX) 219 Biology and other natural sciences (92-XX) 146 Partial differential equations (35-XX) 100 Operator theory (47-XX) 90 Dynamical systems and ergodic theory (37-XX) 75 Numerical analysis (65-XX) 64 Systems theory; control (93-XX) 44 Integral equations (45-XX) 43 Difference and functional equations (39-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 25 Mechanics of particles and systems (70-XX) 18 Real functions (26-XX) 18 Computer science (68-XX) 17 Probability theory and stochastic processes (60-XX) 17 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 9 General and overarching topics; collections (00-XX) 8 Quantum theory (81-XX) 8 Operations research, mathematical programming (90-XX) 8 Information and communication theory, circuits (94-XX) 7 Differential geometry (53-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 General topology (54-XX) 6 Statistics (62-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Abstract harmonic analysis (43-XX) 4 Optics, electromagnetic theory (78-XX) 4 Astronomy and astrophysics (85-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX)

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460 Publications have been cited 2,228 times in 2,052 Documents Cited by Year
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Invariants for systems of two nonlinear difference equations. Zbl 0978.39014
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Global attractivity and uniform persistence in Nicholson’s blowflies. Zbl 0869.34056
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Strong oscillation and nonoscillation of quasilinear differential equations of second order. Zbl 0869.34031
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Characterizing isochronous centres by Lie brackets. Zbl 0894.34021
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Existence and linearized stability for partial neutral functional differential equations with nondense domains. Zbl 0983.34075
1999
Convergence of a difference equation via the full limiting sequences method. Zbl 0868.39002
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1993
Qualitative properties of chemostat equations with time delays: Boundedness, local and global asymptotic stability. Zbl 0868.45002
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1994
Mathematical analysis of the role of repeated exposure on malaria transmission dynamics. Zbl 1181.34056
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2008
Existence and multiplicity of positive solutions to nonlinear boundary value problems. Zbl 0868.35035
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1996
Population dynamic models with nonlocal delay on bounded domains and their numerical computations. Zbl 1231.35287
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2003
Oscillation of third order nonlinear functional dynamic equations on time scales. Zbl 1213.34116
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2010
Isochronous centers of cubic systems with degenerate infinity. Zbl 0982.34025
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1999
Multiple positive solutions of Hammerstein integral equations with singularities. Zbl 0977.45001
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2000
Orthogonal matrix polynomials and systems of second order differential equations. Zbl 0892.33004
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1995
Global stability of complex-valued neural networks on time scales. Zbl 1258.34180
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2011
Bifurcation analysis and control of Leslie-Gower predator-prey model with Michaelis-Menten type prey-harvesting. Zbl 1262.34048
Gupta, R. P.; Banerjee, Malay
2012
A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms. Zbl 1415.35013
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2019
Positive solutions for singular higher order nonlinear equations. Zbl 0873.34013
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1994
Delay independent stability for additive neural networks. Zbl 1179.34078
Campbell, Sue Ann
2001
Triple positive symmetric solutions for a Lidstone boundary value problem. Zbl 0981.34014
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1999
Positive solutions and nonlinear $$(k,n-k)$$ conjugate eigenvalue problems. Zbl 1003.34018
Eloe, Paul W.; Henderson, Johnny
1998
Visualization of four normal size limit cycles in two-dimensional polynomial quadratic system. Zbl 1260.34058
Kuznetsov, N. V.; Kuznetsova, O. A.; Leonov, G. A.
2013
Analysis of multi-delay and piecewise constant delay systems by hybrid functions approximation. Zbl 1350.65072
Mashayekhi, S.; Razzaghi, M.; Wattanataweekul, M.
2016
Qualitative properties of chemostat equations with time delays. II. Zbl 0995.34068
Beretta, Edoardo; Takeuchi, Yasuhiro
1994
Theory, stochastic stability and applications of stochastic delay differential equations: a survey of results. Zbl 1231.34144
Ivanov, A. F.; Kazmerchuk, Y. I.; Swishchuk, A. V.
2003
Existence of solutions to boundary value problems for a nonlinear second order equation with weak Carathéodory functions. Zbl 0891.34022
Wang, Junyu; Gao, Wenjie
1997
Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments. Zbl 1372.65227
Bansal, Komal; Rai, Pratima; Sharma, Kapil K.
2017
Total multiplicity of all finite critical points of the polynomial differential system. Zbl 0942.34027
Baltag, V. A.; Vulpe, N. I.
1997
On the nonautonomous Lotka-Volterra competition system with diffusion. Zbl 0874.34048
Rehim, Mahbuba; Chen, Lansun
1994
Solvability of a three-point fractional nonlinear boundary value problem. Zbl 1256.34003
Guezane-Lakoud, A.; Khaldi, R.
2012
Chaos in neural and gene networks with hard switching. Zbl 1231.37051
Edwards, R.
2001
Dynamical behaviour of an HIV/AIDS epidemic model. Zbl 1314.34106
Sharma, Swarnali; Samanta, G. P.
2014
On the solutions for impulsive fractional functional differential equations. Zbl 1281.34125
Chen, Fulai; Chen, Anping; Wang, Xiaoping
2009
On the Lyapounov exponent of certain SL$$(2,\mathbb{R})$$-valued cocycles. Zbl 0989.34041
Fabbri, R.; Johnson, R.
1999
Modelling and analysis of the intrinsic dynamics of cholera. Zbl 1256.34034
Mukandavire, Z.; Tripathi, A.; Chiyaka, C.
2011
Stability of the second order delay differential equations with a damping term. Zbl 1180.34077
Berezansky, Leonid; Braverman, Elena; Domoshnitsky, Alexander
2008
A delay virus dynamics model with general incidence rate. Zbl 1325.92079
Hattaf, Khalid; Yousfi, Noura; Tridane, Abdessamad
2014
A model based theoretical study on cannibalistic prey-predator system with disease in both populations. Zbl 1334.92330
Biswas, Santosh; Samanta, Sudip; Chattopadhyay, Joydev
2015
Existence principles and theory for singular Dirichlet boundary value problems. Zbl 0876.34018
O’Regan, Donal
1995
Impulsive boundary value problem for differential equations with fractional order. Zbl 1273.34015
Tian, Yuansheng; Bai, Zhanbing
2013
The effects of latent infection on the dynamics of HIV. Zbl 1354.92091
Pankavich, Stephen
2016
A generalization of Opial’s inequality and applications to second-order dynamic equations. Zbl 1210.34135
Karpuz, Başak; Kaymakçalan, Billûr; Öcalan, Özkan
2010
Global stability of a class of scalar nonlinear delay differential equations. Zbl 1231.34126
Ivanov, Anatoli; Liz, Eduardo; Trofimchuk, Sergei
2003
Persistence and global stability for a delayed non-autonomous single species model with dispersion and feedback control. Zbl 1231.34131
Liu, Qiming; Xu, Rui
2003
Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order $$1<q\leq 2$$ with infinite delay and Poisson jumps. Zbl 1384.34087
Muthukumar, P.; Thiagu, K.
2018
Structurally stable differential systems of the form $$A(x)x'=F(x)$$. Zbl 1125.34326
Sotomayor, Jorge
1997
Global stability of chemostat models involving time delays. Zbl 0982.34065
Sree Hari Rao, V.; Raja Sekhara Rao, P.
2000
Global dynamics of bidirectional associative memory networks with transmission delays. Zbl 0871.34043
Sree Hari Rao, V.; Phaneendra, Bh. R. M.; Prameela, V.
1996
Existence results for $$m$$-point boundary value problems. Zbl 0877.34019
Gupta, Chaitan P.; Ntouyas, S. K.; Tsamatos, P. Ch.
1994
Global stability of interior and boundary fixed points for Lotka-Volterra systems. Zbl 1267.34096
Baigent, Stephen; Hou, Zhanyuan
2012
Interplay of functional responses and weak Allee effect on pest control via viral infection or natural predator: an eco-epidemiological study. Zbl 1332.92062
Sasmal, Sourav Kumar; Bhowmick, Amiya Ranjan; Al-Khaled, Kamel; Bhattacharya, Sabyasachi; Chattopadhyay, Joydev
2016
Analysis of the dynamics of a tumor-immune system with chemotherapy and immunotherapy and quadratic optimal control. Zbl 1358.92052
Sharma, Swarnali; Samanta, G. P.
2016
Existence for the thermoviscoelastic thermistor problem. Zbl 1178.74033
Kuttler, K. L.; Shillor, M.; Fernández, J. R.
2008
Nonlinear fractional differential equations with anti-periodic type fractional boundary conditions. Zbl 1296.34009
2013
Coerciveness estimates for a class of nonlocal elliptic problems. Zbl 0875.35021
Aibeche, Aissa
1993
Elliptic systems with nonlinear diffusion in population dynamics. Zbl 0870.35037
1995
Global stability of Lotka-Volterra systems with delay. Zbl 0880.34074
Wang, Lian; Yi, Zhang
1995
On maximum principle of near-optimality for diffusions with jumps, with application to consumption-investment problem. Zbl 1261.49004
Hafayed, Mokhtar; Veverka, Petr; Abbas, Syed
2012
Dynamical study of fractional model of allelopathic stimulatory phytoplankton species. Zbl 1358.34049
Abbas, Syed; Mahto, Lakshman; Favini, Angelo; Hafayed, Mokhtar
2016
Finite-time attractivity and bifurcation for nonautonomous differential equations. Zbl 1213.34070
Rasmussen, Martin
2010
Opial-type inequalities for diamond-alpha derivatives and integrals on time scales. Zbl 1205.26049
Bohner, Martin; Duman, Oktay
2010
Bifurcation and chaos in S-I-S epidemic model. Zbl 1213.34094
Das, Prasenjit; Mukandavire, Zindoga; Chiyaka, Christinah; Sen, Ayan; Mukherjee, Debasis
2009
Theory of nonlinear implicit fractional differential equations. Zbl 1442.34019
Kucche, Kishor D.; Nieto, Juan J.; Venktesh, Venktesh
2020
Local existence for a class of partial neutral functional differential equations with infinite delay. Zbl 1128.35388
Adimy, Mostafa; Bouzahir, Hassane; Ezzinbi, Khalil
2004
On the number of limit cycles arising from perturbations of homoclinic loops of quadratic integrable systems. Zbl 0898.34025
He, Yue; Li, Chengzhi
1997
On stability properties for neutral differential equations with state-dependent delay. Zbl 0983.34076
Bartha, Mária
1999
Existence and uniqueness of mild and strong solutions of nonlinear integro-differential equations with nonlocal condition. Zbl 0985.45009
Balachandran, K.
1998
A primary infection model for HIV and immune response with two discrete time delays. Zbl 1216.34084
Srivastava, Prashant K.; Banerjee, M.; Chandra, Peeyush
2010
Impulsive differential equations of first order with periodic boundary conditions. Zbl 0868.34007
Pierson-Gorez, C.
1993
Smooth and Filippov models of sustainable development: bifurcations and numerical computations. Zbl 1260.34085
Amador, Jorge A.; Olivar, Gerard; Angulo, Fabiola
2013
Semilinear conformable fractional differential equations in Banach spaces. Zbl 1416.34002
Jaiswal, Anjali; Bahuguna, D.
2019
Numerical treatment for solving fractional logistic differential equation. Zbl 1333.65077
2016
Approximate controllability of a second order neutral differential equation with state dependent delay. Zbl 1342.34103
Das, Sanjukta; Pandey, Dwijendra N.; Sukavanam, N.
2016
Approximations of solutions to a fractional differential equation with a deviating argument. Zbl 1314.34152
Kumar, Pradeep; Pandey, Dwijendra N.; Bahuguna, D.
2014
Stabilization of modified Leslie-Gower prey-predator model. Zbl 1300.34115
Singh, Anuraj; Gakkhar, Sunita
2014
Pseudo almost periodic solutions of impulsive differential equations with delay. Zbl 1298.34132
Chérif, Farouk
2014
Dynamics of solitary waves of the Rosenau-RLW equation. Zbl 1301.35104
Esfahani, Amin; Pourgholi, Reza
2014
Dynamical behaviour of a two prey and one predator system. Zbl 1325.92076
Sharma, Swarnali; Samanta, G. P.
2014
Sufficient conditions for global stability and existence of almost automorphic solution of a class of RNNs. Zbl 1298.34135
Chérif, Farouk
2014
Stability analysis of a delayed rumor propagation model. Zbl 1353.91041
Laarabi, Hassan; Abta, Abdelhadi; Rachik, Mostafa; Bouyaghroumni, Jamal
2016
Bioeconomic modelling of selective harvesting in an inshore-offshore fishery. Zbl 0973.92036
1999
Integrability of cubic systems with degenerate infinity. Zbl 0998.34001
Chavarriga, Javier; Giné, Jaume
1998
On reaction-diffusion systems of zooplankton-phytoplankton-nutrient models. Zbl 0868.92026
Freedman, H. I.; Ruan, Shigui
1994
Global stability of a nonlinear Volterra difference system. Zbl 0868.39003
Elaydi, Saber N.; Kocic, Vlajko L.
1994
Explicit oscillation criteria for systems of neutral differential equations with distributed delay. Zbl 0871.34049
Kirchner, Jochen; Stroinski, Uwe
1995
Intermittent impulsive synchronization of chaotic delayed neural networks. Zbl 1256.34063
Liu, Xinzhi; Shen, Xuemin; Zhang, Hongtao
2011
Effect of discretization on dynamical behavior in an epidemiological model. Zbl 1328.92076
Hattaf, Khalid; Lashari, Abid Ali; El Boukari, Brahim; Yousfi, Noura
2015
Stability analysis of delay-differential equations by the method of steps and inverse Laplace transform. Zbl 1207.34091
Kalmár-Nagy, Tamás
2009
On bionomic model of integrated pest management of a single Pest population. Zbl 1128.34314
Bhattacharya, D. K.; Karan, S.
2004
A second order splitting lumped mass finite element method for the Rosenau equation. Zbl 1124.65092
Chung, Sang K.; Pani, Amiya K.
2004
The effect of prey refuges on a three species food chain model. Zbl 1305.92060
Mukherjee, Debasis
2014
Oscillatory coexistence of species in a food chain model with general Holling interactions. Zbl 1300.34112
Sahoo, Banshidhar; Poria, Swarup
2014
Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces. Zbl 1383.35012
Kpoumiè, Moussa El-Khalil; Ezzinbi, Khalil; Békollè, David
2018
Computing the Poincaré-Lyapunov constants. Zbl 0991.34029
Alwash, M. A. M.
1998
Existence of three positive solutions to three-point boundary value problem of nonlinear fractional differential equation. Zbl 1218.34005
Chen, Anping; Tian, Yuansheng
2010
Global dynamics of a nonautonomous SIRC model for influenza A with distributed time delay. Zbl 1228.34130
Samanta, G. P.
2010
Non-existence, uniqueness of limit cycles and center problem in a system that includes predator-prey systems and generalized Liénard equations. Zbl 0876.34035
Gasull, A.; Guillamon, A.
1995
Oscillatory criteria for nonlinear third order differential equations with quasiderivatives. Zbl 0869.34028
Bartušek, M.; Došlá, Zuzana
1995
Controllability results for non densely defined impulsive fractional differential equations in abstract space. Zbl 1466.34069
Kumar, Ashish; Pandey, Dwijendra N.
2021
Polynomial decay of mild solutions to semilinear fractional differential equations with nonlocal initial conditions. Zbl 07336975
Luong, Vu Trong; Van Loi, Do; Nam, Hoang
2021
Approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion. Zbl 1466.34006
Dhayal, Rajesh; Malik, Muslim; Abbas, Syed
2021
Lie group analysis of nanofluid slip flow with Stefan blowing effect via modified Buongiorno’s model: entropy generation analysis. Zbl 1466.35301
Rana, Puneet; Shukla, Nisha; Bég, O. Anwar; Bhardwaj, Anuj
2021
Controllability of neutral differential equation with impulses on time scales. Zbl 1461.93037
Malik, Muslim; Kumar, Vipin
2021
Transmission dynamics of Zika fever: a SEIR based model. Zbl 1479.34082
2021
Delay-dependent and order-dependent $$H_{\infty}$$ control for fractional-order neural networks with time-varying delay. Zbl 1481.93031
Sau, Nguyen Huu; Hong, Duong Thi; Huyen, Nguyen Thi Thanh; Huong, Bui Viet; Thuan, Mai Viet
2021
Theory of nonlinear implicit fractional differential equations. Zbl 1442.34019
Kucche, Kishor D.; Nieto, Juan J.; Venktesh, Venktesh
2020
Existence of unique solutions to the telegraph equation in binary reproducing kernel Hilbert spaces. Zbl 1444.35109
Akgül, Ali; Grow, David
2020
Almost periodic solution and global attractivity for a density dependent predator-prey system with mutual interference and Crowley-Martin response function. Zbl 1437.92105
Tripathi, Jai Prakash
2020
Estimation and identifiability of parameters for generalized Lotka-Volterra biological systems using adaptive controlled combination difference anti-synchronization. Zbl 1472.92181
Khan, Taqseer; Chaudhary, Harindri
2020
The Filippov approach for predator-prey system involving mixed type of functional responses. Zbl 1447.34049
Gupta, Komal; Gakkhar, Sunita
2020
Asymptotic average shadowing property and chain transitivity for multiple flow systems. Zbl 1444.37016
Nia, Mehdi Fatehi
2020
A homoclinic orbit in a patient-specific model of Hashimoto’s thyroiditis. Zbl 1445.34076
Pandiyan, Balamurugan; Merrill, Stephen J.; Benvenga, Salvatore
2020
On the solution set for weighted fractional differential equations in Banach spaces. Zbl 1445.34036
Ziane, Mohamed
2020
Differential equations of the space-like loxodromes on the helicoidal surfaces in Minkowski 3-space. Zbl 1441.53013
Babaarslan, Murat; Kayacik, Mustafa
2020
Adaptive Huber scheme for weakly singular fractional integro-differential equations. Zbl 1452.65405
Gupta, Ashan; Pandey, Rajesh K.
2020
Nonautonomous bifurcations in nonlinear impulsive systems. Zbl 1441.34030
Akhmet, Marat; Kashkynbayev, Ardak
2020
Global dynamics of a breast cancer competition model. Zbl 1453.92067
Abernathy, Kristen; Abernathy, Zachary; Baxter, Arden; Stevens, Meghan
2020
Uniformly convergent second order numerical method for a class of parameterized singular perturbation problems. Zbl 1451.65095
Shakti, D.; Mohapatra, J.
2020
Convergence on two dimensional 1-slow discrete dynamical systems. Zbl 1444.39004
Solis, Francisco J.; Sotolongo, Alina
2020
Periodic solutions for a class of non-autonomous Newton differential equations. Zbl 1446.37030
Llibre, Jaume; Makhlouf, Amar
2020
Role of viral infection in controlling planktonic blooms-conclusion drawn from a mathematical model of phytoplankton-zooplankton system. Zbl 1445.34070
Das, Krishna Pada; Roy, Prodip; Karmakar, Partha; Sarkar, Seema
2020
Variable mesh polynomial spline discretization for solving higher order nonlinear singular boundary value problems. Zbl 1448.65014
2020
Numerical treatment by using a hybrid efficient technique for the biochemical reaction model. Zbl 1455.65111
2020
Modeling of dengue with impact of asymptomatic infection and ADE factor. Zbl 1447.92457
Mishra, Arti; Gakkhar, Sunita
2020
A mathematical model for phage therapy with impulsive phage dose. Zbl 1437.92065
Sahani, Saroj Kumar; Gakkhar, Sunita
2020
Multiple bifurcations and dynamics of a discrete time predator-prey system with group defense and non-monotonic functional response. Zbl 1437.92094
Atabaigi, Ali
2020
Dynamical behaviour of an epidemic model with disease in top-predator population only: a bifurcation study. Zbl 1434.92034
Sahoo, Banshidhar
2020
Solutions of the radial component of the fractional Schrödinger equation using N-fractional calculus operator. Zbl 1441.34005
Ozturk, O.; Yilmazer, R.
2020
On general fractional differential inclusions with nonlocal integral boundary conditions. Zbl 1461.34004
Ahmad, Bashir; Matar, Mohammed M.; Ntouyas, Sotiris K.
2020
Dissipative control of Markovian jumping genetic regulatory networks with time-varying delays and reaction-diffusion driven by fractional Brownian motion. Zbl 1454.92015
Ma, Yonggang; Zhang, Qimin; Li, Xining
2020
A numerical method for solving boundary and interior layers dominated parabolic problems with discontinuous convection coefficient and source terms. Zbl 1415.35013
Chandru, M.; Prabha, T.; Das, P.; Shanthi, V.
2019
Semilinear conformable fractional differential equations in Banach spaces. Zbl 1416.34002
Jaiswal, Anjali; Bahuguna, D.
2019
High-order compact finite difference scheme for pricing Asian option with moving boundary condition. Zbl 1416.65279
Patel, Kuldip Singh; Mehra, Mani
2019
Dynamical model of epidemic along with time delay; Holling type II incidence rate and Monod-Haldane type treatment rate. Zbl 1416.34068
Kumar, Abhishek; Nilam
2019
Fitted numerical methods for singularly perturbed one-dimensional parabolic partial differential equations with small shifts arising in the modelling of neuronal variability. Zbl 1416.65280
Rao, R. Nageshwar; Chakravarthy, P. Pramod
2019
A new Q-S synchronization results for discrete chaotic systems. Zbl 1432.93205
Ouannas, Adel; Odibat, Zaid; Shawagfeh, Nabil
2019
Trajectory controllability of the nonlinear systems governed by fractional differential equations. Zbl 1434.34015
Muslim, M.; George, Raju K.
2019
Singularly perturbed vector field method (SPVF) applied to combustion of monodisperse fuel spray. Zbl 1419.80021
Nave, OPhir
2019
Periodic solutions of a nonautonomous Leslie-Gower predator-prey model with non-linear type prey harvesting on time scales. Zbl 1431.34097
Alam, Sultan; Abbas, Syed; Nieto, Juan J.
2019
Necessary and sufficient conditions for the existence of periodic solutions of a Nicholson type delay system. Zbl 1480.34093
Amster, Pablo; Déboli, Alberto
2019
Persistence and stability of a seasonally perturbed three species stochastic model of salmonoid aquaculture. Zbl 1430.92125
Ghosh, Partha; Das, Pritha; Mukherjee, Debasis
2019
Null controllability of nonlinear fractional stochastic large-scale neutral systems. Zbl 1430.93020
Sathiyaraj, T.; Balasubramaniam, P.
2019
On controllability of a two-dimensional network of ferromagnetic ellipsoidal samples. Zbl 1414.93035
2019
Rotation sets of billiards with $$N$$ obstacles on a torus. Zbl 1431.37027
Alsheekhhussain, Zainab
2019
Existence of solutions for a coupled fractional differential equations with infinitely many points boundary conditions at resonance on an unbounded domain. Zbl 1432.34011
Ge, Fu-Dong; Zhou, Hua-Cheng; Kou, Chun-Hai
2019
Approximate controllability of finite delay fractional functional integro-differential equations with nonlocal condition. Zbl 1430.93019
Jeet, Kamal; Bahuguna, D.; Shukla, R. K.
2019
Maximum number of limit cycles for generalized Kukles polynomial differential systems. Zbl 1441.34046
Mellahi, Nawal; Boulfoul, Amel; Makhlouf, Amar
2019
Existence of positive solutions for system of $$p$$-Laplacian fractional order boundary value problems. Zbl 1448.34009
Al-Hossain, Abdullah Y.
2019
Multiple anti-periodic solutions to a discrete fourth order nonlinear equation. Zbl 1428.39019
Graef, John R.; Kong, Lingju; Liu, Xueyan
2019
Traveling wave solutions to Kawahara and related equations. Zbl 1415.35081
Mancas, Stefan C.
2019
Zero-Hopf periodic orbit of a quadratic system of differential equations obtained from a third-order differential equation. Zbl 1428.37047
Llibre, Jaume; Makhlouf, Ammar
2019
$$\varepsilon$$-uniform numerical technique for the class of time dependent singularly perturbed parabolic problems with state dependent retarded argument arising from generalised Stein’s model of neuronal variability. Zbl 1412.65056
Bansal, Komal; Sharma, Kapil K.
2019
A novel adaptive mesh strategy for singularly perturbed parabolic convection diffusion problems. Zbl 1416.65271
Kumar, Vivek; Srinivasan, Balaji
2019
Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order $$1<q\leq 2$$ with infinite delay and Poisson jumps. Zbl 1384.34087
Muthukumar, P.; Thiagu, K.
2018
Periodic solutions for some nondensely nonautonomous partial functional differential equations in fading memory spaces. Zbl 1383.35012
Kpoumiè, Moussa El-Khalil; Ezzinbi, Khalil; Békollè, David
2018
Controllability of stochastic impulsive neutral functional differential equations driven by fractional Brownian motion with infinite delay. Zbl 1387.35598
Boudaoui, A.; Lakhel, E.
2018
Delayed model for HIV infection with drug effects. Zbl 1384.34090
Sahani, Saroj Kumar; Yashi
2018
Time varying stimulations in simple neural networks and convergence to desired outputs. Zbl 1430.92007
Sree Hari Rao, V.; Raja Sekhara Rao, P.
2018
A family of compact finite difference formulations for three-space dimensional nonlinear Poisson’s equations in Cartesian coordinates. Zbl 1387.35165
Jha, Navnit; Gopal, Venu; Singh, Bhagat
2018
Impulsive effect on tri-trophic food chain model with mixed functional responses under seasonal perturbations. Zbl 1384.34052
Banerjee, Chandrima; Das, Pritha
2018
Biological conservation of living systems by providing additional food supplements in the presence of inhibitory effect: a theoretical study using predator-prey models. Zbl 1385.92045
Srinivasu, P. D. N.; Vamsi, D. K. K.; Aditya, I.
2018
A novel fractional microbial batch culture process and parameter identification. Zbl 1384.34058
Mu, Pan; Wang, Lei; An, Yi; Ma, Yanping
2018
Lower semicontinuity of global attractors for a class of evolution equations of neural fields type in a bounded domain. Zbl 1401.45010
da Silva, Severino Horácio
2018
Existence and regularity of $$q$$-mild solutions to fractional evolution equations with noncompact semigroups. Zbl 1384.65032
Mu, Jia; Huang, Shuibo; Guo, Ling
2018
Existence, global continuation and regularity in the $$\alpha$$-norm for some partial functional integrodifferential equations with infinite delay. Zbl 06845695
Diao, Boubacar; Ezzinbi, Khalil; Sy, Mamadou
2018
Different generalized synchronization schemes between integer-order and fractional-order chaotic systems with different dimensions. Zbl 1383.37027
2018
The analysis of stochastic Lotka-Volterra model in polluted environment. Zbl 1384.34054
Cao, Boqiang; Li, Xining; Li, Qiang; Zhang, Ying
2018
Numerical treatment for the class of time dependent singularly perturbed parabolic problems with general shift arguments. Zbl 1372.65227
Bansal, Komal; Rai, Pratima; Sharma, Kapil K.
2017
Fractional order bilingualism model without conversion from dominant unilingual group to bilingual group. Zbl 1410.91405
Sofuoglu, Y.; Ozalp, N.
2017
Positive solutions for a system of fractional differential equations with nonlocal integral boundary conditions. Zbl 1433.34010
Guezane-Lakoud, Assia; Ashyralyev, Allaberen
2017
Composition theorems of Stepanov $$\mu$$-pseudo almost automorphic functions and applications to nonautonomous neutral evolution equations. Zbl 1378.35016
Akdad, Abdelkarim-Nidal; Essebbar, Brahim; Ezzinbi, Khalil
2017
A note on stochastic Gilpin-Ayala population model with dispersal. Zbl 1379.92049
2017
A higher order numerical implicit method for non-linear Burgers’ equation. Zbl 1371.65098
Mukundan, Vijitha; Awasthi, Ashish
2017
Effect of oblateness of an artificial satellite on the orbits around the triangular points of the Earth-Moon system in the axisymmetric ER3BP. Zbl 1393.70040
2017
Global well-posedness and pullback attractors for an incompressible non-Newtonian fluid with infinite delays. Zbl 1361.35136
Zhao, Caidi; Liu, Guowei; An, Rong
2017
On the calculation of $$R_0$$ using submodels. Zbl 1378.92075
Olmos, Daniel; Barradas, Ignacio; Baca-Carrasco, David
2017
Parameter-robust numerical method for time-dependent weakly coupled linear system of singularly perturbed convection-diffusion equations. Zbl 1406.65064
Rao, S. Chandra Sekhara; Srivastava, Varsha
2017
Particular solution of linear sequential fractional differential equation with constant coefficients by inverse fractional differential operators. Zbl 1378.34013
Khalaf, Sanaa L.; Khudair, Ayad R.
2017
Modeling, analysis and simulations of a dynamic thermoviscoelastic rod-beam system. Zbl 1374.35259
Ahn, J.; Kuttler, K. L.; Shillor, M.
2017
An efficient modified Haar wavelet collocation method for numerical solution of two-dimensional elliptic PDEs. Zbl 1371.65124
Aziz, Imran; Siraj-ul-Islam
2017
A note on a system of cubic nonlinear Klein-Gordon equations in one space dimension. Zbl 1378.35201
Kim, Donghyun
2017
An analysis on induced numerical oscillations by Lax-Friedrichs scheme. Zbl 1375.65112
Dubey, Ritesh Kumar; Biswas, Biswarup
2017
A new numerical method based on non-polynomial spline in tension approximations for 1D quasilinear hyperbolic equations on a variable mesh. Zbl 1371.65084
Mohanty, Ranjan Kumar; Kumar, Ravindra
2017
A third (four) order accurate, nine-point compact scheme for mildly-nonlinear elliptic equations in two space variables. Zbl 1371.65111
Jha, Navnit; Kumar, Neelesh; Sharma, Kapil K.
2017
Finite volume approximations for size structured neuron model. Zbl 1370.92035
Kumar, Santosh; Singh, Paramjeet
2017
A robust numerical approach for singularly perturbed time delayed parabolic partial differential equations. Zbl 1373.65060
Sharma, Manju
2017
Analysis of multi-delay and piecewise constant delay systems by hybrid functions approximation. Zbl 1350.65072
Mashayekhi, S.; Razzaghi, M.; Wattanataweekul, M.
2016
The effects of latent infection on the dynamics of HIV. Zbl 1354.92091
Pankavich, Stephen
2016
Interplay of functional responses and weak Allee effect on pest control via viral infection or natural predator: an eco-epidemiological study. Zbl 1332.92062
Sasmal, Sourav Kumar; Bhowmick, Amiya Ranjan; Al-Khaled, Kamel; Bhattacharya, Sabyasachi; Chattopadhyay, Joydev
2016
Analysis of the dynamics of a tumor-immune system with chemotherapy and immunotherapy and quadratic optimal control. Zbl 1358.92052
Sharma, Swarnali; Samanta, G. P.
2016
Dynamical study of fractional model of allelopathic stimulatory phytoplankton species. Zbl 1358.34049
Abbas, Syed; Mahto, Lakshman; Favini, Angelo; Hafayed, Mokhtar
2016
Numerical treatment for solving fractional logistic differential equation. Zbl 1333.65077
2016
Approximate controllability of a second order neutral differential equation with state dependent delay. Zbl 1342.34103
Das, Sanjukta; Pandey, Dwijendra N.; Sukavanam, N.
2016
Stability analysis of a delayed rumor propagation model. Zbl 1353.91041
Laarabi, Hassan; Abta, Abdelhadi; Rachik, Mostafa; Bouyaghroumni, Jamal
2016
Comparative study of homotopy analysis and renormalization group methods on Rayleigh and Van der Pol equations. Zbl 1354.34107
2016
Hypercyclic and topologically mixing properties of degenerate multi-term fractional differential equations. Zbl 1356.47014
Kostić, Marko
2016
Linearized stability for a new class of neutral equations with state-dependent delay. Zbl 1365.34124
Barbarossa, M. V.; Walther, H.-O.
2016
Persistence aspect of a predator-prey model with disease in the prey. Zbl 1358.92080
Mukherjee, Debasis
2016
...and 360 more Documents
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### Cited by 2,725 Authors

 73 Stević, Stevo 42 Agarwal, Ravi P. 34 Ezzinbi, Khalil 23 O’Regan, Donal 21 Iričanin, Bratislav D. 19 Wong, Patricia J. Y. 18 Šmarda, Zdeněk 17 Chen, Lansun 16 Berezansky, Leonid M. 15 Henderson, Johnny Lee 14 Vulpe, Nicolae I. 13 Braverman, Elena 13 Cao, Jinde 12 Cabada, Alberto 12 Giné, Jaume 12 Ntouyas, Sotiris K. 12 Rao, Vadrevu Sree Hari 12 Samanta, Sudip K. 12 Wu, Yusen 11 Abbas, Syed 11 Chattopadhyay, Joydev 11 Erbe, Lynn Harry 11 Lan, Kunquan 11 Leonov, Gennadiĭ Alekseevich 11 Liu, Yuji 11 Llibre, Jaume 11 Teng, Zhi-dong 10 Domoshnitsky, Alexander I. 10 Duressa, Gemechis File 10 Gumel, Abba B. 10 Infante, Gennaro 10 Kuznetsov, Nikolay Vladimirovich 9 Bohner, Martin J. 9 Han, Maoan 9 Peterson, Allan C. 8 Băleanu, Dumitru I. 8 Došlý, Ondřej 8 Graef, John R. 8 Hattaf, Khalid 8 Jiang, Daqing 8 Kosmala, Witold A. J. 8 Liu, Yirong 8 Misra, Arvind Kumar 8 Schlomiuk, Dana I. 8 Yi, Taishan 8 Zou, Xingfu 7 Abo-Zeid, Raafat 7 Davis, John M. 7 Eloe, Paul W. 7 Gasull, Armengol 7 Li, Yongkun 7 Minhós, Feliz Manuel 7 Ordokhani, Yadollah 7 Pandey, Dwijendra Narain 7 Pietramala, Paolamaria 7 Prasad, Kapula Rajendra 7 Raja Sekhara Rao, P. 7 Riaza, Ricardo 7 Sahoo, Banshidhar 7 Tiwari, Pankaj Kumar 6 Algaba, Antonio 6 Alghamdi, Mohammed Ali 6 Biswas, Santanu 6 Chen, Fengde 6 da Silva, Severino Horácio 6 Elaiw, Ahmed M. 6 Ferreira, José Manuel 6 Gupta, Chaitan P. 6 Hassan, Taher S. 6 Khader, Mohamed M. 6 López Pouso, Rodrigo 6 Meng, Fanwei 6 Nie, Linfei 6 Poria, Swarup 6 Razzaghi, Mohsen 6 Řehák, Pavel 6 Ruan, Shigui 6 Sabatini, Marco 6 Saker, Samir H. 6 Šimon Hilscher, Roman 6 Tariboon, Jessada 6 Yuan, Yueding 6 Zhou, Yong 5 Agusto, Folashade B. 5 Alotaibi, Abdullah M. 5 Balachandran, Krishnan 5 Bartušek, Miroslav 5 Benchohra, Mouffak 5 Burton, Theodore Allen 5 Chyan, Chuan Jen 5 Cui, Jingan 5 Damak, Hanen 5 Das, Pratibhamoy 5 Diblík, Josef 5 Edwards, Roderick 5 Freire Macías, Emilio 5 García, Isaac A. 5 Gedeon, Tomáš 5 Ghnimi, Saifeddine 5 Gil’, Michael Iosif ...and 2,625 more Authors
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### Cited in 320 Journals

 133 Journal of Mathematical Analysis and Applications 122 Applied Mathematics and Computation 105 Advances in Difference Equations 79 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 73 Differential Equations and Dynamical Systems 60 Computers & Mathematics with Applications 49 Journal of Differential Equations 48 Journal of Computational and Applied Mathematics 45 Chaos, Solitons and Fractals 44 Applied Mathematics Letters 36 Abstract and Applied Analysis 34 Nonlinear Dynamics 33 Journal of Applied Mathematics and Computing 32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 32 Nonlinear Analysis. Real World Applications 28 Discrete Dynamics in Nature and Society 27 Mathematical and Computer Modelling 22 Nonlinear Analysis. Theory, Methods & Applications 19 Rocky Mountain Journal of Mathematics 16 Mathematics and Computers in Simulation 16 Discrete and Continuous Dynamical Systems. Series B 16 Boundary Value Problems 16 International Journal of Biomathematics 15 Communications in Nonlinear Science and Numerical Simulation 15 Qualitative Theory of Dynamical Systems 14 Applied Mathematical Modelling 14 Mathematical Biosciences and Engineering 13 Mathematical Methods in the Applied Sciences 13 Journal of Difference Equations and Applications 13 Mediterranean Journal of Mathematics 13 International Journal of Applied and Computational Mathematics 12 Mathematical Biosciences 12 Bulletin des Sciences Mathématiques 11 Physica D 11 Mathematical Problems in Engineering 11 Journal of Inequalities and Applications 10 Bulletin of Mathematical Biology 10 Czechoslovak Mathematical Journal 10 Computational and Applied Mathematics 10 Chaos 10 Journal of Biological Systems 10 Afrika Matematika 10 AIMS Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Proceedings of the American Mathematical Society 9 Results in Mathematics 9 Neural Networks 9 Applications of Mathematics 9 Journal of Dynamics and Differential Equations 9 Filomat 9 Complexity 9 International Journal of Differential Equations 8 International Journal of Computer Mathematics 8 Nonlinear Analysis. Modelling and Control 8 Journal of Applied Mathematics 8 Journal of Applied Analysis and Computation 7 Applicable Analysis 7 Journal of Mathematical Biology 7 Discrete and Continuous Dynamical Systems 7 International Journal of Nonlinear Sciences and Numerical Simulation 7 Applications and Applied Mathematics 7 Discrete and Continuous Dynamical Systems. Series S 7 Journal of Theoretical Biology 7 Journal of Function Spaces 6 International Journal of Control 6 Indian Journal of Pure & Applied Mathematics 6 International Journal of Mathematics and Mathematical Sciences 6 Zeitschrift für Analysis und ihre Anwendungen 6 Acta Applicandae Mathematicae 6 Journal of Biological Dynamics 5 Acta Mechanica 5 Integral Equations and Operator Theory 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Transactions of the American Mathematical Society 5 Systems & Control Letters 5 Applied Numerical Mathematics 5 Numerical Algorithms 5 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 5 The Journal of Analysis 5 Topological Methods in Nonlinear Analysis 5 Journal of Mathematical Sciences (New York) 5 Buletinul Academiei de Științe a Republicii Moldova. Matematica 5 Acta Mathematica Sinica. English Series 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Fixed Point Theory and Applications 5 Journal of Nonlinear Science and Applications 5 Advances in Mathematical Physics 5 Science China. Mathematics 5 Journal of Mathematics 4 Journal of the Franklin Institute 4 Journal of Mathematical Physics 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Numerical Functional Analysis and Optimization 4 Stochastic Analysis and Applications 4 Applied Mathematics. Series B (English Edition) 4 International Applied Mechanics 4 Electronic Journal of Differential Equations (EJDE) 4 Regular and Chaotic Dynamics 4 Differential Equations 4 Hacettepe Journal of Mathematics and Statistics ...and 220 more Journals
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### Cited in 53 Fields

 1,188 Ordinary differential equations (34-XX) 510 Biology and other natural sciences (92-XX) 309 Partial differential equations (35-XX) 241 Difference and functional equations (39-XX) 234 Dynamical systems and ergodic theory (37-XX) 202 Operator theory (47-XX) 168 Numerical analysis (65-XX) 145 Systems theory; control (93-XX) 101 Real functions (26-XX) 79 Integral equations (45-XX) 63 Probability theory and stochastic processes (60-XX) 61 Calculus of variations and optimal control; optimization (49-XX) 50 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 37 Mechanics of particles and systems (70-XX) 31 Special functions (33-XX) 26 Mechanics of deformable solids (74-XX) 20 Computer science (68-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 16 Fluid mechanics (76-XX) 11 Abstract harmonic analysis (43-XX) 11 Statistical mechanics, structure of matter (82-XX) 11 Information and communication theory, circuits (94-XX) 10 Operations research, mathematical programming (90-XX) 9 Functional analysis (46-XX) 9 Global analysis, analysis on manifolds (58-XX) 9 Statistics (62-XX) 7 Approximations and expansions (41-XX) 7 Differential geometry (53-XX) 6 Measure and integration (28-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral transforms, operational calculus (44-XX) 6 Quantum theory (81-XX) 5 General topology (54-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 History and biography (01-XX) 4 Functions of a complex variable (30-XX) 3 Mathematical logic and foundations (03-XX) 3 Combinatorics (05-XX) 3 Commutative algebra (13-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Algebraic topology (55-XX) 2 Astronomy and astrophysics (85-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX)