# zbMATH — the first resource for mathematics

## International Journal of Biomathematics

 Short Title: Int. J. Biomath. Publisher: World Scientific, Singapore ISSN: 1793-5245; 1793-7159/e Online: https://www.worldscientific.com/loi/ijb Comments: Indexed cover-to-cover
 Documents Indexed: 925 Publications (since 2008) References Indexed: 910 Publications with 25,969 References.
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 825 Biology and other natural sciences (92-XX) 366 Ordinary differential equations (34-XX) 155 Partial differential equations (35-XX) 69 Fluid mechanics (76-XX) 67 Dynamical systems and ergodic theory (37-XX) 57 Numerical analysis (65-XX) 56 Probability theory and stochastic processes (60-XX) 46 Systems theory; control (93-XX) 29 Difference and functional equations (39-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 28 Statistics (62-XX) 26 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Operator theory (47-XX) 16 Real functions (26-XX) 16 Classical thermodynamics, heat transfer (80-XX) 13 Computer science (68-XX) 9 Integral equations (45-XX) 7 General topology (54-XX) 7 Mechanics of deformable solids (74-XX) 7 Operations research, mathematical programming (90-XX) 7 Information and communication theory, circuits (94-XX) 5 Combinatorics (05-XX) 4 Mathematical logic and foundations (03-XX) 4 Integral transforms, operational calculus (44-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Optics, electromagnetic theory (78-XX) 2 Mathematics education (97-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

553 Publications have been cited 2,017 times in 1,560 Documents Cited by Year
The impact of media coverage on the dynamics of infectious disease. Zbl 1155.92343
Liu, Yiping; Cui, Jing-An
2008
Global attractivity of a stage-structure variable coefficients predator-prey system with time delay and impulsive perturbations on predators. Zbl 1155.92355
Jiao, Jianjun; Chen, Lansun
2008
Permanence and global stability in an impulsive Lotka-Volterra $$N$$-species competitive system with both discrete delays and continuous delays. Zbl 1155.92356
Meng, Xinzhu; Chen, Lansun
2008
An impulsive predator-prey system with Beddington-DeAngelis functional response and time delay. Zbl 1155.92045
Zhang, Hong; Georgescu, Paul; Chen, Lansun
2008
Dynamics on a Holling II predator-prey model with state-dependent impulsive control. Zbl 1280.92075
Liu, Bing; Tian, Ye; Kang, Baolin
2012
Modeling binge drinking. Zbl 1297.92079
Mulone, Giuseppe; Straughan, Brian
2012
Permanence of some discrete epidemic models. Zbl 1342.92281
Sekiguchi, Masaki
2009
Homoclinic bifurcation in semi-continuous dynamic systems. Zbl 1305.34065
Dai, Chuanjun; Zhao, Min; Chen, Lansun
2012
Lyapunov function and global properties of virus dynamics with CTL immune response. Zbl 1156.92322
Wang, Xia; Tao, Youde
2008
Pulse vaccination in the periodic infection rate SIR epidemic model. Zbl 1156.92028
Jin, Zhen; Haque, Mainul; Liu, Quanxing
2008
Hemorrhagic fever with renal syndrome in China: mechanisms on two distinct annual peaks and control measures. Zbl 1383.92082
Li, Li; Wang, Cui-Hua; Wang, Shi-Fu; Li, Ming-Tao; Yakob, Laith; Cazelles, Bernard; Jin, Zhen; Zhang, Wen-Yi
2018
Global analysis of a harvested predator-prey model incorporating a constant prey refuge. Zbl 1342.92160
Chen, Liujuan; Chen, Fengde
2010
A multi-group sveir epidemic model with distributed delay and vaccination. Zbl 1280.34059
Wang, Jinliang; Takeuchi, Yasuhiro; Liu, Shengqiang
2012
The effects of timing of pulse spraying and releasing periods on dynamics of generalized predator-prey model. Zbl 1297.92065
Li, Changtong; Tang, Sanyi
2012
Geometric approach to the stability analysis of the periodic solution in a semi-continuous dynamic system. Zbl 1395.34051
Tian, Yuan; Sun, Kaibiao; Chen, Lansun
2014
Extinction in a discrete Lotka-Volterra competitive system with the effect of toxic substances and feedback controls. Zbl 1312.39005
Chen, Lijuan; Chen, Fengde
2015
Global stability of a stage-structured predator-prey system. Zbl 1173.34043
Song, Xinyu; Guo, Hongjian
2008
Spatial pattern in a diffusive predator-prey model with Sigmoid ratio-dependent functional response. Zbl 1304.35706
Guin, Lakshmi Narayan; Mandal, Prashanta Kumar
2014
Global properties of nonlinear humoral immunity viral infection models. Zbl 1327.34098
Elaiw, A. M.; Al Shamarani, N. H.
2015
Permanence and complexity of the eco-epidemiological model with impulsive perturbation. Zbl 1166.92039
Sun, Shulin; Chen, Lansun
2008
Global dynamics of a heroin epidemic model with age structure and nonlinear incidence. Zbl 1338.92145
Yang, Junyuan; Li, Xiaoxia; Zhang, Fengqin
2016
Existence of spatiotemporal patterns in the reaction-diffusion predator-prey model incorporating prey refuge. Zbl 1345.35119
Guin, Lakshmi Narayan; Mondal, Benukar; Chakravarty, Santabrata
2016
Global stability of a stage-structured predator-prey model with modified Leslie-Gower and Holling-type II schemes. Zbl 1297.92066
Li, Zhong; Han, Maoan; Chen, Fengde
2012
Global properties of a cell mediated immunity in HIV infection model with two classes of target cells and distributed delays. Zbl 1311.34165
Elaiw, A. M.; Abukwaik, R. M.; Alzahrani, E. O.
2014
On dynamics of $$\ell$$-Volterra quadratic stochastic operators. Zbl 1342.92199
2010
An efficient red blood cell model in the frame of IB-LBM and its application. Zbl 1297.92027
Xu, Yuan-Qing; Tian, Fang-Bao; Deng, Yu-Lin
2013
Almost periodic oscillations in a generalized Mackey-Glass model of respiratory dynamics with several delays. Zbl 1306.34134
Zhang, Tianwei
2014
Heteroclinic bifurcations of a prey-predator fishery model with impulsive harvesting. Zbl 1417.37288
Wei, Chunjin; Chen, Lansun
2013
On the solutions and periodic nature of some systems of difference equations. Zbl 1308.39012
Elsayed, E. M.
2014
Traveling waves for a SIRS model with nonlocal diffusion. Zbl 1291.92106
Yu, Xiaojing; Wu, Chufen; Weng, Peixuan
2012
Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response. Zbl 1367.34098
Ełaiw, A. M.; Raezah, A. A.; Hattaf, Khalid
2017
Two patches impulsive diffusion periodic single-species logistic model. Zbl 1342.92188
Liu, Zijian; Teng, Zhidong; Zhang, Long
2010
$$H_{v}$$-semigroup structure on $$F_{2}$$-offspring of a gene pool. Zbl 1280.92044
Ghadiri, M.; Davvaz, B.; Nekouian, R.
2012
A fractional-order model of HIV infection: numerical solution and comparisons with data of patients. Zbl 1306.34074
Arafa, A. A. M.; Rida, S. Z.; Khalil, M.
2014
MHD Eyring-Prandtl fluid flow with convective boundary conditions in small intestines. Zbl 1298.76242
Akbar, Noreen Sher
2013
Complex dynamic behaviors of a discrete predator-prey model with stage structure and harvesting. Zbl 1366.92101
Chen, Boshan; Chen, Jiejie
2017
Two different vaccination strategies in an SIR epidemic model with saturated infectious force. Zbl 1155.92030
Pei, Yongzhen; Liu, Shaoying; Chen, Lansun; Wang, Chunhua
2008
A food chain system with Holling IV functional responses and impulsive effect. Zbl 1155.92043
Xiong, Zuoliang; Xue, Ying; Li, Shunyi
2008
Permanence for a discrete Nicholson’s blowflies model with feedback control and delay. Zbl 1163.39011
Wang, Lin-Lin; Fan, Yong-Hong
2008
A fractional-order delay differential model for Ebola infection and $$\mathrm{CD}8^+$$ T-cells response: stability analysis and Hopf bifurcation. Zbl 1376.92031
Latha, V. Preethi; Rihan, Fathalla A.; Rakkiyappan, R.; Velmurugan, G.
2017
A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators. Zbl 1378.35322
Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P.
2018
Analysis on an epidemic model with a ratio-dependent nonlinear incidence rate. Zbl 1297.92078
Li, Bo; Yuan, Sanling; Zhang, Weiguo
2011
Modeling and qualitative analysis of diabetes therapies with state feedback control. Zbl 1329.92057
Huang, Mingzhan; Song, Xinyu
2014
Effect of kairomone on predator-prey dynamics – a delay model. Zbl 1300.92087
2013
Analysis of within-host CHIKV dynamics models with general incidence rate. Zbl 1397.34078
Elaiw, Ahmed M.; Alade, Taofeek O.; Alsulami, Saud M.
2018
Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. Zbl 1409.34038
Huang, Chuangxia; Zhang, Hua
2019
On the permanence for $$n$$-species non-autonomous Lotka-Volterra competitive system with infinite delays and feedback controls. Zbl 1155.92358
Wang, Kai; Teng, Zhidong; Jiang, Haijun
2008
Analysis of stability and persistence in a ratio-dependent predator-prey resource model. Zbl 1342.92168
Freedman, H. I.; Agarwal, Manju; Devi, Sapna
2009
Modeling and parameter identification for multistage simulation of microbial bioconversion in batch culture. Zbl 1280.92017
Wang, Lei; Xiu, Zhilong; Gong, Zhaohua; Feng, Enmin
2012
Dynamics of a diffusive predator-prey model with additive Allee effect. Zbl 1297.92060
Cai, Yongli; Wang, Weiming; Wang, Jinfeng
2012
Mathematical modeling of blood flow in a porous vessel having double stenoses in the presence of an external magnetic field. Zbl 1297.92024
Misra, J. C.; Sinha, A.; Shit, G. C.
2011
Two-dimensional finite element model to study calcium distribution in astrocytes in presence of excess buffer. Zbl 1297.76100
Jha, Brajesh Kumar; Adlakha, Neeru; Mehta, M. N.
2014
Existence and global asymptotic stability of positive almost periodic solutions of a two-species competitive system. Zbl 1329.92115
Wang, Qinglong; Liu, Zhijun; Li, Zuxiong; Cheke, Robert A.
2014
Effects of delay and seasonality on toxin producing phytoplankton-zooplankton system. Zbl 1291.37117
Gakkhar, Sunita; Singh, Anuraj; Singh, Braham Pal
2012
Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production. Zbl 1365.34139
Ełaiw, A. M.; Alshamrani, N. H.; Hattaf, K.
2017
Dynamics of a delayed epidemic model with varying immunity period and nonlinear transmission. Zbl 1328.92078
2015
Stability analysis and optimal control of an epidemic model with vaccination. Zbl 1314.34107
Sharma, Swarnali; Samanta, G. P.
2015
Particulate suspension flow induced by sinusoidal peristaltic waves through eccentric cylinders: thread annular. Zbl 1280.76062
Mekheimer, Kh. S.; Abd Elmaboud, Y.; Abdellateef, A. I.
2013
A model for control of HIV/AIDS with parental care. Zbl 1280.92033
Abiodun, Gbenga Jacob; Marcus, Nizar; Okosun, Kazeem Oare; Witbooi, Peter Joseph
2013
Discrete-time epidemic dynamics with awareness in random networks. Zbl 1280.92039
Shang, Yilun
2013
Dynamics of SIS epidemic model with the standard incidence rate and saturated treatment function. Zbl 1280.92065
Wei, Jingjing; Cui, Jing-An
2012
Global exponential stability of cellular neural networks with multi-proportional delays. Zbl 1332.34117
Zhou, Liqun; Zhang, Yanyan
2015
Turing patterns of a predator-prey model with a modified Leslie-Gower term and cross-diffusions. Zbl 1297.92063
Hu, Guang-Ping; Li, Xiao-Ling
2012
Heat and mass transfer effects on carreau fluid model for blood flow through a tapered artery with a stenosis. Zbl 1329.92031
Akbar, Noreen Sher
2014
Global robust stability of complex-valued recurrent neural networks with time-delays and uncertainties. Zbl 1330.92016
Zhang, Wei; Li, Chuandong; Huang, Tingwen
2014
Modeling the spread of HIV in a stage structured population: effect of awareness. Zbl 1291.92082
Kaur, Navjot; Ghosh, Mini; Bhatia, S. S.
2012
Bifurcation and spatiotemporal patterns of a density-dependent predator-prey model with Crowley-Martin functional response. Zbl 1376.92051
Sivakumar, M.; Balachandran, K.; Karuppiah, K.
2017
Mathematical modeling of the HIV/AIDS epidemic in Cuba. Zbl 1328.92079
Mastroberardino, Antonio; Cheng, Yuanji; Abdelrazec, Ahmed; Liu, Hao
2015
Effects of time delay on two neurons interaction Morris-Lecar model. Zbl 1155.92010
Ma, S. Q.; Lu, Q. S.; Wang, Q. Y.; Feng, Z. S.
2008
Dynamical properties of a kind of SIR model with constant vaccination rate and impulsive state feedback control. Zbl 1376.34047
Guo, Hongjian; Chen, Lansun; Song, Xinyu
2017
Modeling the effect of time delay in budget allocation to control an epidemic through awareness. Zbl 1387.34022
Misra, A. K.; Rai, Rajanish Kumar; Takeuchi, Yasuhiro
2018
An exponential collocation method for the solutions of the HIV infection model of $$\mathrm{CD}4^+\mathrm{T}$$ cells. Zbl 1338.92066
Yüzbaşı, Şuayip
2016
Dynamical analysis of a class of hepatitis C virus infection models with application of optimal control. Zbl 1408.37146
Mojaver, Aida; Kheiri, Hossein
2016
Bifurcation behaviors analysis of a plankton model with multiple delays. Zbl 1347.34120
Sharma, Anuj Kumar; Sharma, Amit; Agnihotri, Kulbhushan
2016
An investigation of non-Newtonian fluid flow due to metachronal beating of cilia in a tube. Zbl 1395.76120
Siddiqui, A. M.; Farooq, A. A.; Rana, M. A.
2015
Flow of micropolar fluid through catheterized artery – a mathematical model. Zbl 1297.92026
Srinivasacharya, D.; Srikanth, D.
2012
Heat transfer analysis of viscoelastic fluid flow due to metachronal wave of cilia. Zbl 1305.76135
Akbar, Noreen Sher; Butt, Adil Wahid
2014
Dynamics of an HIV-1 infection model with cell-mediated immune response and stochastic perturbation. Zbl 1291.92081
Ji, Chunyan; Jiang, Daqing
2012
Traveling wave solutions of a nonlocal dispersal SIRS model with spatio-temporal delay. Zbl 1364.35387
Ma, Zhaohai; Yuan, Rong
2017
Optimal control of a fractional-order model for the HIV/AIDS epidemic. Zbl 1400.92321
Kheiri, Hossein; Jafari, Mohsen
2018
Persistence in a ratio-dependent predator-prey-resource model with stage structure for prey. Zbl 1403.92232
Agarwal, Manju; Devi, Sapna
2010
Unsteady model of transportation of Jeffrey-fluid by peristalsis. Zbl 1403.92052
Pandey, S. K.; Tripathi, Dharmendra
2010
Global dynamics of deterministic and stochastic epidemic systems with nonmonotone incidence rate. Zbl 1405.92251
Feng, Tao; Qiu, Zhipeng
2018
Threshold dynamics of reaction-diffusion partial differential equations model of Ebola virus disease. Zbl 1405.35091
Yamazaki, Kazuo
2018
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
Differential susceptibility time-dependent SIR epidemic model. Zbl 1155.92036
Zhang, Tailei; Liu, Junli; Teng, Zhidong
2008
Dynamics of a nonautonomous system with impulsive output. Zbl 1155.92034
Tan, Yuanshun; Tao, Fengmei; Chen, Lansun
2008
Modeling and analysis of a harvesting fishery model in a two-patch environment. Zbl 1155.92348
Cai, Liming; Li, Xuezhi; Song, Xinyu
2008
The existence of positive periodic solutions of an eco-epidemic model with impulsive birth. Zbl 1170.34034
Xue, Yakui; Kang, Aihua; Jin, Zhen
2008
Competition between two microorganisms in the chemostat with general variable yields and general growth rates. Zbl 1179.34048
Luo, Jianmei; Yuan, Sanling; Zhang, Weiguo
2008
Parameters estimation of HIV infection model of $$\mathrm{CD}4^+$$ T-cells by applying orthonormal Bernstein collocation method. Zbl 1381.92094
2018
Interplay between strong Allee effect, harvesting and hydra effect of a single population discrete-time system. Zbl 1339.39003
Jana, Debaldev; Elsayed, Elsayed M.
2016
Dynamic complexities of Holling type II functional response predator-prey system with digest delay and impulsive harvesting on the prey. Zbl 1342.92177
Jia, Jianwen; Cao, Hui
2009
HIV/AIDS model assessing the effects of gender-inequality affecting women in african heterosexual settings. Zbl 1342.92262
Mukandavire, Zindoga; Malunguza, Noble J.; Chiyaka, Christinah; Musuka, Godfrey; Tchuenche, Jean M.
2010
Permanence for the Lotka-Volterra cooperative system with several delays. Zbl 1344.92142
Nakata, Yukihiko
2009
Global stability in a tuberculosis model incorporating two latent periods. Zbl 1342.92253
Liu, Luju
2009
Pseudo-almost periodic solution for impulsive hematopoiesis model with infinite delays and linear harvesting term. Zbl 1347.34122
Xia, Zhinan; Wang, Dingjiang
2016
Entire solutions for Lotka-Volterra competition-diffusion model. Zbl 1280.35066
Wang, Xiaohuan; Lv, Guangying
2013
Spreading dynamics of a disease-awareness SIS model on complex networks. Zbl 1280.92061
Lin, Bei; Sun, Zhenlong; Fu, Xinchu; Zhu, Guanghu
2013
Cross-diffusion induced Turing patterns in a sex-structured predator-prey model. Zbl 1280.92052
Liu, Jia; Zhou, Hua; Zhang, Lai
2012
A new analysis of fractional fish farm model associated with Mittag-Leffler-type kernel. Zbl 1442.34131
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
2020
Chaotic dynamics of a delayed tumor-immune interaction model. Zbl 1442.34130
Khajanchi, Subhas
2020
A compartmental model for antibiotic resistant bacterial infections over networks. Zbl 1432.92093
Knopoff, Damián A.; Trucco, Facundo A.
2020
Incorporating two coupling noises into a nonlinear competitive system with saturation effect. Zbl 1443.92154
Hu, Jing; Liu, Zhijun
2020
Stability and bifurcation analysis of a fractional-order single-gene regulatory model with delays under a novel $$PD^\alpha$$ control law. Zbl 1442.37102
Lu, Qiu; Xiao, Min; Cheng, Zunshui; Song, Yurong; Huang, Chengdai; Cao, Jinde
2020
A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment. Zbl 1443.92101
Kumar, Sachin; Atangana, Abdon
2020
Impact of adaptive immune response and cellular infection on delayed virus dynamics with multi-stages of infected cells. Zbl 1434.34070
Elaiw, A. M.; AlShamrani, N. H.
2020
Mathematical modeling and analysis of meningococcal meningitis transmission dynamics. Zbl 1434.34042
Musa, Salihu Sabiu; Zhao, Shi; Hussaini, Nafiu; Garba Habib, Abdulrazaq; He, Daihai
2020
Global stability and optimal control of a two-patch tuberculosis epidemic model using fractional-order derivatives. Zbl 1443.92176
Kheiri, Hossein; Jafari, Mohsen
2020
Persistence and extinction of Markov switched stochastic Nicholson’s blowflies delayed differential equation. Zbl 1434.60229
Wang, Wentao; Chen, Wei
2020
A stochastic switched SIRS epidemic model with nonlinear incidence and vaccination: stationary distribution and extinction. Zbl 1443.92190
Zhao, Xin; He, Xin; Feng, Tao; Qiu, Zhipeng
2020
Bifurcations and chaos control in a discrete-time biological model. Zbl 1464.39013
Khan, A. Q.; Khalique, T.
2020
The stationary distribution and stochastic persistence for a class of disease models: case study of malaria. Zbl 1465.92131
Wanduku, Divine
2020
Permanence and extinction of stochastic regime-switching mutualism model. Zbl 1465.92140
Lv, Guangying; Zhang, Beibei
2020
Dynamics of a diffusive predator-prey system with ratio-dependent functional response and time delay. Zbl 1461.92088
Jiang, Xin; Zhang, Ran; She, Zhikun
2020
Hopf bifurcation and chaos in a Leslie-Gower prey-predator model with discrete delays. Zbl 1461.92099
2020
Dynamics analysis of fractional-order Hopfield neural networks. Zbl 07336066
Batiha, Iqbal M.; Albadarneh, Ramzi B.; Momani, Shaher; Jebril, Iqbal H.
2020
Periodicity of non-autonomous inertial neural networks involving proportional delays and non-reduced order method. Zbl 1409.34038
Huang, Chuangxia; Zhang, Hua
2019
Dynamics of a stochastic heroin epidemic model with bilinear incidence and varying population size. Zbl 1406.92595
Liu, Shitao; Zhang, Liang; Zhang, Xiao-Bing; Li, Aibing
2019
Under the influence of crowding effects: stability, bifurcation and chaos control for a discrete-time predator-prey model. Zbl 1415.92141
2019
Stochastic dynamics of the delayed chemostat with Lévy noises. Zbl 1422.34246
Zhao, Dianli; Yuan, Sanling; Liu, Haidong
2019
Interplay between reproduction and age selective harvesting: a case study of hilsa (Tenualosa ilisha) fish at Sundarban estuary of northern Bay of Bengal, India. Zbl 1409.92199
Jana, Debaldev; Dutta, Sachinandan; Samanta, G. P.
2019
On a new modified fractional analysis of Nagumo equation. Zbl 1421.35118
Saad, Khaled M.; Deniz, Sinan; Baleanu, Dumitru
2019
Bipolar fuzzy soft mappings with application to bipolar disorders. Zbl 1437.92064
2019
Convergence of neutral type proportional-delayed HCNNs with $$D$$ operators. Zbl 1406.92014
Xu, Yanli; Zhong, Jiaming
2019
Analysis of a predator-prey model with herd behavior and disease in prey incorporating prey refuge. Zbl 1406.92518
Saha, Sangeeta; Samanta, G. P.
2019
A study of stability and bifurcation analysis in discrete-time predator-prey system involving the Allee effect. Zbl 1405.39008
Işık, Seval
2019
Asymptotic analysis of a mathematical model of the atherosclerosis development. Zbl 1409.92073
Mel&rsquo;Nyk, Taras
2019
Ocean ecosystem discrete time dynamics generated by $$\ell$$-Volterra operators. Zbl 07036869
Rozikov, U. A.; Shoyimardonov, S. K.
2019
New results for a Lasota-Wazewska model. Zbl 1409.35114
Chérif, Farouk; Miraoui, Mohsen
2019
Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation. Zbl 1425.92174
2019
Analysis of a delayed diffusive model with Beddington-DeAngelis functional response. Zbl 1418.35030
Meng, Xin-You; Wang, Jiao-Guo
2019
Analysis and optimization based on a sex pheromone and pesticide pest model with gestation delay. Zbl 1419.92033
Xiang, Shu; Pei, Yongzhen; Liang, Xiyin
2019
Searching for the random walking microorganism cells. Zbl 1425.92030
El-Hadidy, Mohamed Abd Allah; Abou-Gabal, Hamdy M.
2019
A parameter uniform essentially first-order convergent numerical method for a parabolic system of singularly perturbed differential equations of reaction-diffusion type with initial and Robin boundary conditions. Zbl 07012060
Ishwariya, R.; Miller, J. J. H.; Valarmathi, S.
2019
Existence and stability of invasion traveling waves for a competition system with random vs. nonlocal dispersals. Zbl 1407.35049
Wang, Jiao; Yu, Zhixian; Meng, Yanling
2019
A model of a human heart via graph nano topological spaces. Zbl 1405.05180
Nawar, Ashraf S.; El Atik, Abd El Fattah A.
2019
Dynamical behaviors of the generalized hematopoiesis model with discontinuous harvesting terms. Zbl 1406.92103
Kong, Fanchao
2019
Theoretical assessment of the impact of environmental contamination on the dynamical transmission of polio. Zbl 1414.34010
Balde, C.; Lam, M.; Bah, A.; Bowong, S.; Tewa, J. J.
2019
Delayed information induces oscillations in a dynamical model for infectious disease. Zbl 1408.37145
2019
Lyapunov function and global stability for a two-strain SEIR model with bilinear and non-monotone incidence. Zbl 1409.92225
Bentaleb, Dounia; Amine, Saida
2019
Threshold dynamics of a multi-group SEAR alcoholism model with public health education. Zbl 1416.92161
Ma, Shuang-Hong; Huo, Hai-Feng; Xiang, Hong
2019
Optimal control homotopy perturbation method for cancer model. Zbl 1416.34042
2019
Bifurcation analysis of modeling biodegradation of microcystins. Zbl 1416.34070
Song, Keying; Ma, Wanbiao; Jiang, Zhichao
2019
Wave propagation of a discrete SIR epidemic model with a saturated incidence rate. Zbl 1415.92201
Zhang, Qiu; Wu, Shi-Liang
2019
Modeling and dynamics of an ecological-economic model. Zbl 1416.92139
Liu, Wei; Jiang, Yaolin
2019
Numerical solution of generalized DPL model using wavelet method during thermal therapy applications. Zbl 1462.65108
Kumar, P.; Rai, K. N.
2019
Entire solutions in a delayed nonlocal dispersal competitive system. Zbl 1415.35167
Wang, Yang; Liu, Guirong; Li, Xiong
2019
Bioconvection in Casson nanofluid flow with gyrotactic microorganisms and variable surface heat flux. Zbl 1417.92018
Oyelakin, I. S.; Mondal, S.; Sibanda, P.; Sibanda, D.
2019
A conformable mathematical model for alcohol consumption in Spain. Zbl 1419.92013
Nazir, Aqsa; Ahmed, Naveed; Khan, Umar; Mohyud-Din, Syed Tauseef
2019
Stationary distribution and periodic solution of stochastic chemostat models with single-species growth on two nutrients. Zbl 1451.60057
Gao, Miaomiao; Jiang, Daqing; Hayat, Tasawar
2019
Partial stability analysis of nonlinear time-varying impulsive systems. Zbl 1425.34070
Ghanmi, Boulbaba
2019
Global stability analysis of fractional-order gene regulatory networks with time delay. Zbl 1425.34097
Wu, Zhaohua; Wang, Zhiming; Zhou, Tiejun
2019
Modeling and analyzing dynamics of malaria transmission with host immunity. Zbl 1422.92142
Cai, Li-Ming; Li, Zhaoqing; Liu, Jinliang
2019
Mathematical analysis of a tuberculosis model with imperfect vaccine. Zbl 1426.92040
Egonmwan, A. O.; Okuonghae, D.
2019
A mathematical model for preventing HIV virus from proliferating inside CD4 T Brownian cell using Gaussian jump nanorobot. Zbl 1427.92061
El-Hadidy, Mohamed Abd Allah; Alzulaibani, Alaa A.
2019
Mathematical modeling and analysis of innate and humoral immune responses to dengue infections. Zbl 1430.34061
Perera, Sulanie; Perera, S. S. N.
2019
Asymptotic profile of a mutualistic model on a periodically evolving domain. Zbl 1423.35189
2019
A spatial SIS model with Holling II incidence rate. Zbl 1430.92115
Xie, Wenhao; Liang, Gongqian; Wang, Wei; She, Yanhong
2019
Hemorrhagic fever with renal syndrome in China: mechanisms on two distinct annual peaks and control measures. Zbl 1383.92082
Li, Li; Wang, Cui-Hua; Wang, Shi-Fu; Li, Ming-Tao; Yakob, Laith; Cazelles, Bernard; Jin, Zhen; Zhang, Wen-Yi
2018
A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators. Zbl 1378.35322
Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P.
2018
Analysis of within-host CHIKV dynamics models with general incidence rate. Zbl 1397.34078
Elaiw, Ahmed M.; Alade, Taofeek O.; Alsulami, Saud M.
2018
Modeling the effect of time delay in budget allocation to control an epidemic through awareness. Zbl 1387.34022
Misra, A. K.; Rai, Rajanish Kumar; Takeuchi, Yasuhiro
2018
Optimal control of a fractional-order model for the HIV/AIDS epidemic. Zbl 1400.92321
Kheiri, Hossein; Jafari, Mohsen
2018
Global dynamics of deterministic and stochastic epidemic systems with nonmonotone incidence rate. Zbl 1405.92251
Feng, Tao; Qiu, Zhipeng
2018
Threshold dynamics of reaction-diffusion partial differential equations model of Ebola virus disease. Zbl 1405.35091
Yamazaki, Kazuo
2018
Parameters estimation of HIV infection model of $$\mathrm{CD}4^+$$ T-cells by applying orthonormal Bernstein collocation method. Zbl 1381.92094
2018
Mathematical analysis of a two-sex human papillomavirus (HPV) model. Zbl 1400.92325
Omame, A.; Umana, R. A.; Okuonghae, D.; Inyama, S. C.
2018
Analysis of a harvested tritrophic food chain model in the presence of additional food for top predator. Zbl 1390.92118
Panja, Prabir; Poria, Swarup; Mondal, Shyamal Kumar
2018
Global dynamics of an age-structured viral infection model with general incidence function and absorption. Zbl 1403.35303
Hattaf, Khalid; Yang, Yu
2018
Modeling and analysis of a predator-prey model with state-dependent delay. Zbl 1383.92070
Lv, Yunfei; Pei, Yongzhen; Yuan, Rong
2018
Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville-Caputo type. Zbl 1388.35195
Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P.
2018
Threshold conditions for a family of epidemic dynamic models for malaria with distributed delays in a non-random environment. Zbl 1396.92086
Wanduku, Divine
2018
A numerical study by using the Chebyshev collocation method for a problem of biological invasion: fractional Fisher equation. Zbl 1405.92290
2018
Efficient numerical treatments for a fractional optimal control nonlinear tuberculosis model. Zbl 1407.65226
Sweilam, N. H.; Al-Mekhlafi, S. M.; Baleanu, D.
2018
Exploring the dynamics of a Holling-Tanner model with cannibalism in both predator and prey population. Zbl 1381.92072
2018
An analytical study of drug release kinetics from a degradable polymeric matrix. Zbl 1383.37070
Chakravarty, Koyel; Dalal, D. C.
2018
Turing patterns in a reaction-diffusion epidemic model. Zbl 1381.35190
Jia, Yanfei; Cai, Yongli; Shi, Hongbo; Fu, Shengmao; Wang, Weiming
2018
Global attractivity of asymptotically almost periodic Nicholson’s blowflies models with a nonlinear density-dependent mortality term. Zbl 1398.34124
Tang, Yi; Xie, Shenglan
2018
Synchronization of switched Boolean networks with impulsive effects. Zbl 1397.93106
2018
Chaos control in a discrete-time predator-prey model with weak Allee effect. Zbl 1401.37096
Pal, Saheb; Sasmal, Sourav Kumar; Pal, Nikhil
2018
Numerical study on thermal therapy of triple layer skin tissue using fractional bioheat model. Zbl 1387.80008
Kumar, Sushil; Damor, Ramesh S.; Shukla, Ajay K.
2018
A fractional dynamical model for honeybee colony population. Zbl 1396.92062
Akman Yıldız, Tuğba
2018
An age-structured epidemic model with waning immunity and general nonlinear incidence rate. Zbl 1395.35185
Wang, Xia; Zhang, Ying; Song, Xinyu
2018
How can inter-specific interferences explain coexistence or confirm the competitive exclusion principle in a chemostat? Zbl 1457.92114
El Hajji, Miled
2018
Mathematical modeling approach to the transmission dynamics of pine wilt disease with saturated incidence rate. Zbl 1385.92050
Khan, Muhammad Altaf; Shah, Kamil; Khan, Yasir; Islam, Saeed
2018
The asymptotic behavior of a stochastic multigroup SIS model. Zbl 1387.34074
Ji, Chunyan; Jiang, Daqing
2018
Study of an epidemic model with Z-type control. Zbl 1400.92537
Samanta, Sudip
2018
Analytically depicting the calcium diffusion for Alzheimer’s affected cell. Zbl 1401.44001
Dave, Devanshi D.; Jha, Brajesh Kumar
2018
A diffusive predator-prey system with additional food and intra-specific competition among predators. Zbl 1391.35379
Yang, Ruizhi; Liu, Ming; Zhang, Chunrui
2018
Modeling impulsive resource inputs in host-parasitoid interactions with time delays. Zbl 1397.34147
Liu, Shouzong; Huang, Mingzhan; Song, Xinyu; Li, Shuai; Cheng, Huidong
2018
Stability of a CD$$4^+$$ T cell viral infection model with diffusion. Zbl 1397.92694
Xu, Zhiting; Xu, Youqing
2018
Fractionally delineate the neuroprotective function of calbindin-$$D_{2 8 k}$$ in Parkinson’s disease. Zbl 1405.92045
Joshi, Hardik; Jha, Brajesh Kumar
2018
Analysis of a fuzzy epidemic model with saturated treatment and disease transmission. Zbl 1381.92095
Nandi, Swapan Kumar; Jana, Soovoojeet; Manadal, Manotosh; Kar, T. K.
2018
The existence of traveling wave solutions in an integro-difference competition-cooperation system. Zbl 1380.45002
Li, Kun; Li, Xiong
2018
Existence and asymptotic behavior of invasion wave solutions in temporally discrete diffusion systems with delays. Zbl 1387.35364
Xue, Hui; Huang, Jianhua; Yu, Zhixian
2018
The backward bifurcation of a model for malaria infection. Zbl 1387.34085
Wang, Juan; Li, Xue-Zhi; Bhattacharya, Souvik
2018
Bio-inspired computational heuristics to study models of HIV infection of $$\mathrm{CD}4^+$$ T-cell. Zbl 1384.92006
2018
An analysis of the delay-dependent HIV-1 protease inhibitor model. Zbl 1387.34113
Divya, M.; Pitchaimani, M.
2018
Dynamics of gene regulatory networks with stochastic propensities. Zbl 1385.92019
Akman, Olcay; Comar, Timothy D.; Harris, A. L.; Hrozencik, D.; Li, Y.
2018
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#### Cited by 2,378 Authors

 54 Chen, Lansun 30 Jiao, Jianjun 29 Elaiw, Ahmed M. 29 Meng, Xinzhu 25 Song, Xinyu 23 Cai, Shaohong 23 Teng, Zhi-dong 19 Liu, Zhijun 18 Huo, Hai-Feng 18 Liu, Shengqiang 16 Chen, Fengde 16 Tang, Sanyi 15 Liu, Bing 14 Gao, Shujing 14 Hattaf, Khalid 14 Zhang, Tonghua 13 Cui, Jingan 13 Hayat, Tasawar 13 Wang, Weiming 13 Wang, Xia 13 Zhang, Tongqian 12 Akbar, Noreen Sher 12 Cheng, Huidong 12 Jiang, Daqing 12 Li, Zuxiong 12 Wang, Jinliang 12 Zhang, Fengqin 11 Cao, Jinde 11 Khan, Muhammad Altaf 11 Ma, Wanbiao 11 Wang, Lianwen 11 Xie, Xiangdong 11 Yuan, Sanling 10 Alshamrani, Noura H. 10 Chattopadhyay, Joydev 10 Li, Limei 10 Samanta, Sudip K. 9 Cai, Yongli 9 Chen, Yuming 9 Davvaz, Bijan 9 Feng, Tao 9 Huang, Mingzhan 9 Kar, Tapan Kumar 9 Misra, Arvind Kumar 9 Tian, Yuan 9 Xiang, Hong 8 El Fatini, Mohamed 8 Feng, Enmin 8 Jin, Zhen 8 Kang, Baolin 8 Kumar Roy, Priti 8 Liu, Xianning 8 Qiu, Zhipeng 8 Tian, Fangbao 8 Wei, Chunjin 8 Xu, Rui 8 Yang, Junyuan 8 Zhang, Tianwei 8 Zhao, Zhong 7 Al-saedi, Ahmed Eid Salem 7 Guo, Hongjian 7 Jiang, Yaolin 7 Li, Xuezhi 7 Muroya, Yoshiaki 7 Pei, Yongzhen 7 Rihan, Fathalla A. 7 Sun, Kaibiao 7 Yang, Yu 7 Yousfi, Noura 7 Yuan, Rong 7 Zhang, Long 7 Zhao, Min 7 Zhong, Shou-Ming 7 Zhou, Tiejun 6 Adlakha, Neeru 6 Alonso Quesada, Santiago 6 Cheke, Robert A. 6 Dai, Binxiang 6 de la Sen, Manuel 6 Din, Qamar 6 Dubey, Balram 6 Enatsu, Yoichi 6 Fu, Shengmao 6 Jana, Soovoojeet 6 Khan, Yasir 6 Liang, Juhua 6 Liu, Maoxing 6 Liu, Qun 6 Liu, Shouzong 6 Liu, Zijian 6 Lv, Yunfei 6 Makinde, Oluwole Daniel 6 Mukherjee, Debasis 6 Okosun, Kazeem Oare 6 Venturino, Ezio 6 Wang, Kaifa 6 Xiu, Zhilong 6 Yang, Jin 6 Yu, Shengbin 6 Zhou, Xueyong ...and 2,278 more Authors
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#### Cited in 192 Journals

 232 International Journal of Biomathematics 91 Advances in Difference Equations 80 Discrete Dynamics in Nature and Society 79 Applied Mathematics and Computation 47 Mathematical Biosciences and Engineering 41 Nonlinear Dynamics 41 Abstract and Applied Analysis 34 Chaos, Solitons and Fractals 34 Nonlinear Analysis. Real World Applications 31 Discrete and Continuous Dynamical Systems. Series B 30 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 29 Mathematical Methods in the Applied Sciences 29 Complexity 26 Mathematical Biosciences 25 Journal of Applied Mathematics and Computing 25 Journal of Applied Analysis and Computation 24 Mathematics and Computers in Simulation 23 Communications in Nonlinear Science and Numerical Simulation 23 Journal of Biological Dynamics 21 Applied Mathematical Modelling 21 Mathematical Problems in Engineering 18 Computational & Mathematical Methods in Medicine 18 Journal of Theoretical Biology 17 International Journal of Applied and Computational Mathematics 16 Journal of the Franklin Institute 16 Journal of Biological Systems 15 Bulletin of Mathematical Biology 15 Journal of Applied Mathematics 12 Journal of Nonlinear Science and Applications 11 Journal of Mathematical Analysis and Applications 11 Journal of Difference Equations and Applications 10 Physica A 10 Applied Mathematics Letters 10 Journal of the Egyptian Mathematical Society 10 Nonlinear Analysis. Modelling and Control 9 Computers & Mathematics with Applications 9 Journal of Mathematical Biology 9 Journal of Computational and Applied Mathematics 9 Acta Applicandae Mathematicae 9 Chaos 8 Ricerche di Matematica 8 Qualitative Theory of Dynamical Systems 8 Mathematical Modelling of Natural Phenomena 7 Differential Equations and Dynamical Systems 7 Nonlinear Analysis. Hybrid Systems 7 Open Mathematics 6 Applied Numerical Mathematics 6 Computational and Applied Mathematics 6 International Journal of Nonlinear Sciences and Numerical Simulation 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Communications on Pure and Applied Analysis 6 Journal of Mathematics 5 Mathematical and Computer Modelling 5 Neural Networks 5 Applications and Applied Mathematics 5 International Journal of Differential Equations 5 Afrika Matematika 5 Mathematics 5 Journal of Function Spaces 4 Applicable Analysis 4 International Journal of Mathematics and Mathematical Sciences 4 Journal of Differential Equations 4 Applied Mathematics E-Notes 4 Journal of Mathematics and Computer Science. JMCS 3 International Journal of Control 3 Stochastic Analysis and Applications 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Journal of Dynamics and Differential Equations 3 Journal of Nonlinear Science 3 Journal of Mathematical Chemistry 3 Journal of Inequalities and Applications 3 International Journal of Applied Mathematics and Computer Science 3 Journal of Systems Science and Complexity 3 Boundary Value Problems 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Computational Physics 2 Rocky Mountain Journal of Mathematics 2 Applied Mathematics and Optimization 2 Meccanica 2 Applied Mathematics and Mechanics. (English Edition) 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 Computational Mechanics 2 Japan Journal of Industrial and Applied Mathematics 2 Computational Statistics 2 SIAM Journal on Applied Mathematics 2 The Journal of Analysis 2 Applied Mathematics. Series B (English Edition) 2 NoDEA. Nonlinear Differential Equations and Applications 2 Taiwanese Journal of Mathematics 2 European Journal of Mechanics. B. Fluids 2 Communications of the Korean Mathematical Society 2 Journal of Dynamical and Control Systems 2 Mathematical Modelling and Analysis 2 Iranian Journal of Science and Technology. Transaction A: Science 2 International Journal of Computational Methods 2 Discrete and Continuous Dynamical Systems. Series S 2 Asian-European Journal of Mathematics 2 Discrete Mathematics, Algorithms and Applications 2 Iranian Journal of Mathematical Chemistry ...and 92 more Journals
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#### Cited in 44 Fields

 1,270 Biology and other natural sciences (92-XX) 746 Ordinary differential equations (34-XX) 235 Partial differential equations (35-XX) 208 Dynamical systems and ergodic theory (37-XX) 135 Systems theory; control (93-XX) 91 Fluid mechanics (76-XX) 90 Numerical analysis (65-XX) 86 Probability theory and stochastic processes (60-XX) 79 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 64 Difference and functional equations (39-XX) 41 Real functions (26-XX) 23 Operator theory (47-XX) 22 Classical thermodynamics, heat transfer (80-XX) 22 Operations research, mathematical programming (90-XX) 18 Mechanics of deformable solids (74-XX) 17 Computer science (68-XX) 13 Statistics (62-XX) 12 Combinatorics (05-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Information and communication theory, circuits (94-XX) 10 Group theory and generalizations (20-XX) 10 Integral equations (45-XX) 9 Mathematical logic and foundations (03-XX) 7 General topology (54-XX) 6 Special functions (33-XX) 6 Approximations and expansions (41-XX) 6 Optics, electromagnetic theory (78-XX) 5 Integral transforms, operational calculus (44-XX) 4 Abstract harmonic analysis (43-XX) 4 Mechanics of particles and systems (70-XX) 3 General and overarching topics; collections (00-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functional analysis (46-XX) 3 Quantum theory (81-XX) 2 General algebraic systems (08-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mathematics education (97-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX)