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Mathematical Modelling of Natural Phenomena

Short Title: Math. Model. Nat. Phenom.
Publisher: EDP Sciences, Les Ulis
ISSN: 0973-5348; 1760-6101/e
Online: http://www.mmnp-journal.org/component/issues/?task=all&Itemid=121
Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 11 (2016). Print-ISSN until then: 0973-5348.
Documents Indexed: 957 Publications (since 2006)
References Indexed: 544 Publications with 19,970 References.
all top 5

Authors

40 Volpert, Vitaly A.
14 Ibragimov, Ranis N.
12 Banerjee, Malay
10 Morozov, Andrew Yu.
9 Petrovskii, Sergei V.
9 Venturino, Ezio
8 Gorban, Alexander N.
8 Nepomnyashchy, Alexander A.
7 Auger, Pierre M.
7 Kooi, Bob W.
6 Adimy, Mostafa
6 Ducrot, Arnaud
6 Ibragimov, Nail Hairullovich
6 Sequeira, Adélia
6 Stéphanou, Angélique
6 Tyukin, Ivan Yu.
6 Zemzemi, Nejib
5 Aniţa, Sebastian
5 Apreutesei, Narcisa C.
5 Atangana, Abdon
5 Băleanu, Dumitru I.
5 Bocharov, Gennady A.
5 Chaplain, Mark A. J.
5 Clairambault, Jean
5 Crauste, Fabien
5 El-Khatib, Nader
5 Kumar, Devendra
5 Nec, Yana
5 Ramm, Alexander G.
5 Simakov, Sergey S.
5 Vassilevski, Yuri V.
5 Vougalter, Vitali
5 Webb, Glenn Francis
4 Aboulaich, Rajae
4 Allali, Karam
4 Banks, Harvey Thomas
4 Boujena, Soumaya
4 Bravo de la Parra, Rafael
4 Chekroun, Abdennasser
4 Génieys, Stéphane
4 Halanay, Andrei
4 Henry, Jacques
4 Kaźmierczak, Bogdan
4 Kerbal, Sebti
4 Labate, Demetrio
4 Marvá, Marcos
4 Panteleev, Mikhail A.
4 Perthame, Benoît
4 Preziosi, Luigi
4 Pujo-Menjouet, Laurent
4 Ruzhansky, Michael V.
4 Singh, Jagdev
4 Torres, Delfim Fernando Marado
4 Tosenberger, Alen
4 Volpert, Vladimir A.
4 Wong, Man Wah
4 Yafia, Radouane
4 Yousfi, Noura
3 Aguiar, Maíra
3 Agur, Zvia
3 Ahmed, Najma
3 Anand, Mohan
3 Angstmann, Christopher N.
3 Area, Iván
3 Ataullakhanov, Fazoil I.
3 Augeraud-Véron, Emmanuelle
3 Boucekkine, Raouf
3 Bouchnita, Anass
3 Bowong, Samuel
3 Bratsun, Dmitry
3 Chechkin, Aleksei V.
3 Cournède, Paul-Henry
3 Crooke, Philip S. III
3 Davidson, Fordyce A.
3 El Guarmah, El Mahdi
3 Farkas, József Zoltán
3 Goldobin, Denis S.
3 Gómez-Aguilar, José Francisco
3 Gonchenko, Sergey V.
3 Gubernov, Vladimir Vladimirovich
3 Hattaf, Khalid
3 Henry, Bruce I.
3 Jungck, John R.
3 Kafi, Oualid
3 Kagan, L.
3 Kim, Nam-Il
3 Kiss, István Z.
3 Kogan, Yuri
3 Kosztołowicz, Tadeusz
3 Lepoutre, Thomas
3 Letort, Veronique
3 Lewandowska, Katarzyna D.
3 Lorenzi, Tommaso
3 Makarov, Valeri A.
3 Malchow, Horst
3 Marciniak-Czochra, Anna K.
3 Milner, Fabio Augusto
3 Minaev, Sergey S.
3 Molahajloo, Shahla
3 Novozhilov, Artem S.
...and 1,710 more Authors
all top 5

Fields

532 Biology and other natural sciences (92-XX)
379 Partial differential equations (35-XX)
189 Ordinary differential equations (34-XX)
142 Fluid mechanics (76-XX)
105 Numerical analysis (65-XX)
98 Dynamical systems and ergodic theory (37-XX)
69 Systems theory; control (93-XX)
68 Probability theory and stochastic processes (60-XX)
55 Operator theory (47-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
47 Mechanics of deformable solids (74-XX)
46 Statistical mechanics, structure of matter (82-XX)
43 Classical thermodynamics, heat transfer (80-XX)
41 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
22 Statistics (62-XX)
21 Real functions (26-XX)
17 General and overarching topics; collections (00-XX)
17 Computer science (68-XX)
16 Harmonic analysis on Euclidean spaces (42-XX)
15 Combinatorics (05-XX)
15 Integral equations (45-XX)
15 Quantum theory (81-XX)
13 Mechanics of particles and systems (70-XX)
13 Geophysics (86-XX)
13 Mathematics education (97-XX)
12 Special functions (33-XX)
12 Operations research, mathematical programming (90-XX)
11 Optics, electromagnetic theory (78-XX)
10 Difference and functional equations (39-XX)
6 Integral transforms, operational calculus (44-XX)
6 Functional analysis (46-XX)
6 Global analysis, analysis on manifolds (58-XX)
5 Potential theory (31-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
4 Information and communication theory, circuits (94-XX)
3 History and biography (01-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
2 Topological groups, Lie groups (22-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Sequences, series, summability (40-XX)
2 Abstract harmonic analysis (43-XX)
1 Number theory (11-XX)
1 Approximations and expansions (41-XX)
1 Differential geometry (53-XX)
1 General topology (54-XX)
1 Manifolds and cell complexes (57-XX)
1 Astronomy and astrophysics (85-XX)

Publications by Year

Citations contained in zbMATH Open

679 Publications have been cited 4,855 times in 4,052 Documents Cited by Year
New numerical approach for fractional differential equations. Zbl 1406.65045
Atangana, Abdon; Owolabi, Kolade M.
99
2018
Pattern and waves for a model in population dynamics with nonlocal consumption of resources. Zbl 1201.92055
Genieys, S.; Volpert, V.; Auger, P.
93
2006
On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046
Ruan, S.
84
2009
Inverse stable subordinators. Zbl 1274.60153
Meerschaert, M. M.; Straka, P.
82
2013
Unbounded Laplacians on graphs: basic spectral properties and the heat equation. Zbl 1207.47032
Keller, M.; Lenz, D.
74
2010
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
64
2019
Regularity and blow up for active scalars. Zbl 1194.35490
Kiselev, A.
56
2010
Viscous shock capturing in a time-explicit discontinuous Galerkin method. Zbl 1220.65165
Klöckner, A.; Warburton, T.; Hesthaven, J. S.
55
2011
Epidemiological models and Lyapunov functions. Zbl 1337.92206
Fall, A.; Iggidr, A.; Sallet, G.; Tewa, J. J.
48
2007
A high-order unifying discontinuous formulation for the Navier-Stokes equations on 3D mixed grids. Zbl 1239.76044
Haga, T.; Gao, H.; Wang, Z. J.
47
2011
Numerical computation of a fractional derivative with non-local and non-singular kernel. Zbl 1416.65190
Djida, Jean Daniel; Atangana, A.; Area, I.
43
2017
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
42
2019
Numerical approach to fractional blow-up equations with Atangana-Baleanu derivative in Riemann-Liouville sense. Zbl 1410.65323
Owolabi, Kolade M.
40
2018
Continuous time random walks with reactions forcing and trapping. Zbl 1320.60135
Angstmann, C. N.; Donnelly, I. C.; Henry, B. I.
38
2013
A different approach to the European option pricing model with new fractional operator. Zbl 1405.91658
Yavuz, M.; Özdemir, N.
38
2018
Characterizations of two different fractional operators without singular kernel. Zbl 1423.26015
Yavuz, Mehmet
38
2019
A survey of methods for deciding whether a reaction network is multistationary. Zbl 1371.92148
Joshi, B.; Shiu, A.
37
2015
The construction of smooth Parseval frames of shearlets. Zbl 1266.42076
Guo, K.; Labate, D.
33
2013
Fractional order model of immune cells influenced by cancer cells. Zbl 1418.34033
Ucar, Esmehan; Özdemir, Necati; Altun, Eren
33
2019
Dynamics of biomembranes: effect of the bulk fluid. Zbl 1231.92014
Bonito, A.; Nochetto, R. H.; Pauletti, M. S.
32
2011
Facilitating the adoption of unstructured high-order methods amongst a wider community of fluid dynamicists. Zbl 1387.76002
Vincent, P. E.; Jameson, A.
32
2011
Mathematical modeling of leukemogenesis and cancer stem cell dynamics. Zbl 1241.92045
Stiehl, T.; Marciniak-Czochra, A.
31
2012
Concentration in the nonlocal Fisher equation: the Hamilton-Jacobi limit. Zbl 1337.35077
Perthame, Benoît; Génieys, Stephane
31
2007
A hybrid analytical algorithm for nonlinear fractional wave-like equations. Zbl 1423.65001
Kumar, Devendra; Singh, Jagdev; Purohit, Sunil Dutt; Swroop, Ram
31
2019
Epidemic spread in networks: existing methods and current challenges. Zbl 1322.92076
Miller, J. C.; Kiss, I. Z.
30
2014
Application of Atangana-Baleanu fractional derivative to convection flow of MHD Maxwell fluid in a porous medium over a vertical plate. Zbl 1405.76065
Abro, K. A.; Khan, I.; Tassaddiq, A.
29
2018
Atherosclerosis initiation modeled as an inflammatory process. Zbl 1337.92108
El Khatib, N.; Génieys, S.; Volpert, V.
28
2007
Homogenization of a periodic parabolic Cauchy problem in the Sobolev space. Zbl 1203.35026
Suslina, T.
28
2010
Nonharmonic analysis of boundary value problems without WZ condition. Zbl 1385.58013
Ruzhansky, M.; Tokmagambetov, N.
27
2017
Wave-like solutions for nonlocal reaction-diffusion equations: a toy model. Zbl 1280.34066
Nadin, G.; Rossi, L.; Ryzhik, L.; Perthame, B.
27
2013
Ecoepidemiology: a more comprehensive view of population interactions. Zbl 1384.92060
Venturino, Ezio
25
2016
Selection theorem for systems with inheritance. Zbl 1337.92150
Gorban, A. N.
25
2007
Epidemiology of dengue fever: A model with temporary cross-immunity and possible secondary infection shows bifurcations and chaotic behaviour in wide parameter regions. Zbl 1337.92126
Aguiar, Maíra; Kooi, Bob; Stollenwerk, Nico
25
2008
Global bifurcation for the Whitham equation. Zbl 1283.35108
Ehrnström, M.; Kalisch, H.
25
2013
Volume filling effect in modelling chemotaxis. Zbl 1184.35166
Wrzosek, D.
23
2010
The intersection of theory and application in elucidating pattern formation in developmental biology. Zbl 1181.35297
Othmer, H. G.; Painter, K.; Umulis, D.; Xue, C.
23
2009
Dynamical behavior of a stochastic SIRS epidemic model. Zbl 1337.34046
Hieu, N. T.; Du, N. H.; Auger, P.; Dang, N. H.
23
2015
Bifurcation thresholds in an SIR model with information-dependent vaccination. Zbl 1337.92223
d’Onofrio, A.; Manfredi, P.; Salinelli, E.
23
2007
Analysis of a population model structured by the cells molecular content. Zbl 1337.92174
Doumic, M.
23
2007
Properties of discrete framelet transforms. Zbl 1268.42073
Han, Bin
23
2013
Response functions in linear viscoelastic constitutive equations and related fractional operators. Zbl 1462.35294
Hristov, Jordan
23
2019
Multiphase and multiscale trends in cancer modelling. Zbl 1166.92030
Preziosi, L.; Tosin, A.
22
2009
On spectral stability of solitary waves of nonlinear Dirac equation in 1D. Zbl 1247.35117
Berkolaiko, G.; Comech, A.
22
2012
Optimal control in coupled within-host and between-host models. Zbl 1294.49013
Numfor, E.; Bhattacharya, S.; Lenhart, S.; Martcheva, M.
22
2014
A minimal model of pursuit-evasion in a predator-prey system. Zbl 1337.92201
Tyutyunov, Y.; Titova, L.; Arditi, R.
22
2007
Inside dynamics of delayed traveling waves. Zbl 1278.35044
Bonnefon, O.; Garnier, J.; Hamel, F.; Roques, L.
22
2013
Spatiotemporal dynamics in a spatial plankton system. Zbl 1197.92049
Upadhyay, R. K.; Wang, W.; Thakur, N. K.
22
2010
Methods of blood flow modelling. Zbl 1384.92024
Bessonov, N.; Sequeira, A.; Simakov, S.; Vassilevskii, Yu.; Volpert, V.
21
2016
Approximating the stability region for a differential equation with a distributed delay. Zbl 1187.34097
Campbell, S. A.; Jessop, R.
21
2009
Generalization of the Kermack-McKendrick SIR model to a patchy environment for a disease with latency. Zbl 1170.34056
Li, Jing; Zou, X.
21
2009
Rare mutations limit of a steady state dispersal evolution model. Zbl 1387.35027
Perthame, Benoit; Souganidis, P. E.
20
2016
Competition of species with intra-specific competition. Zbl 1337.35068
Apreutesei, N.; Ducrot, A.; Volpert, V.
20
2008
Spreading speeds and linear determinacy for two species competition systems with nonlocal dispersal in periodic habitats. Zbl 1358.92079
Kong, L.; Rawal, N.; Shen, W.
20
2015
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
20
2013
Mathematics of Darwin’s diagram. Zbl 1321.92060
Bessonov, N.; Reinberg, N.; Volpert, V.
19
2014
On the use of the Hill functions in mathematical models of gene regulatory networks. Zbl 1337.92082
Santillán, M.
19
2008
On chemotaxis models with cell population interactions. Zbl 1197.35140
Wang, Z. A.
18
2010
Blood cell dynamics: half of a century of modelling. Zbl 1384.92027
Pujo-Menjouet, L.
18
2016
An ecoepidemic model with prey herd behavior and predator feeding saturation response on both healthy and diseased prey. Zbl 1384.37112
Banerjee, M.; Kooi, Bob W.; Venturino, E.
18
2017
Generalized elastic model: fractional Langevin description, fluctuation relation and linear response. Zbl 1267.82103
Taloni, A.; Chechkin, A.; Klafter, J.
18
2013
Asymptotic behavior of solutions to diffusion problems with Robin and free boundary conditions. Zbl 1282.35071
Liu, Xiaowei; Lou, Bendong
18
2013
Patterns of zooplankton functional response in communities with vertical heterogeneity: a model study. Zbl 1337.92189
Morozov, A.; Arashkevich, E.
17
2008
Global asymptotic stability of equilibria in models for virus dynamics. Zbl 1337.92216
Prüss, J.; Zacher, R.; Schnaubelt, R.
17
2008
A new fractional calculus model for the two-dimensional anomalous diffusion and its analysis. Zbl 1393.35280
Luchko, Yu.
16
2016
Examples of Lorenz-like attractors in Hénon-like maps. Zbl 1331.37040
Gonchenko, S. V.; Gonchenko, A. S.; Ovsyannikov, I. I.; Turaev, D. V.
16
2013
First integral method for non-linear differential equations with conformable derivative. Zbl 1458.35463
Yépez-Martínez, H.; Gómez-Aguilar, J. F.; Atangana, Abdon
16
2018
Quasichemical models of multicomponent nonlinear diffusion. Zbl 1234.35131
Gorban, A. N.; Sargsyan, H. P.; Wahab, H. A.
15
2011
On the half-plane Dirichlet problem for differential-difference elliptic equations with several nonlocal terms. Zbl 1390.35391
Muravnik, A.
15
2017
Nonlocal problems in the mechanics of three-layer shells. Zbl 1386.35078
Onanov, G. G.; Skubachevskii, A. L.
15
2017
The importance of spatial distribution of stemness and proliferation state in determining tumor radioresponse. Zbl 1165.92022
Enderling, H.; Park, D.; Hlatky, L.; Hahnfeldt, P.
15
2009
Investigation of the migration/proliferation dichotomy and its impact on avascular glioma invasion. Zbl 1241.92036
Böttger, K.; Hatzikirou, H.; Chauviere, A.; Deutsch, A.
15
2012
On the form of smooth-front travelling waves in a reaction-diffusion equation with degenerate nonlinear diffusion. Zbl 1202.35050
Sherratt, J. A.
15
2010
Memory effects in population dynamics : spread of infectious disease as a case study. Zbl 1316.92088
Pimenov, A.; Kelly, T. C.; Korobeinikov, A.; O’Callaghan, M. J. A.; Pokrovskii, A. V.; Rachinskii, D.
14
2012
On the discrete spectrum of Robin Laplacians in conical domains. Zbl 1390.35208
Pankrashkin, Konstantin
14
2016
Comb model with slow and ultraslow diffusion. Zbl 1386.60287
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A.
14
2016
Free boundary problems associated with multiscale tumor models. Zbl 1172.35080
Friedman, A.
14
2009
Solvability conditions for a linearized Cahn-Hilliard equation of sixth order. Zbl 1242.47054
Vougalter, V.; Volpert, V.
14
2012
Enrichment paradox induced by spatial heterogeneity in a phytoplankton - zooplankton system. Zbl 1337.92192
Poggiale, J.-C.; Gauduchon, M.; Auger, P.
14
2008
Computational models of sprouting angiogenesis and cell migration: towards multiscale mechanochemical models of angiogenesis. Zbl 1325.92009
Heck, T. A. M.; Vaeyens, M. M.; van Oosterwyck, H.
14
2015
Schrödinger operators on a half-line with inverse square potentials. Zbl 1320.47047
Kovařík, H.; Truc, F.
14
2014
A new mathematical model of syphilis. Zbl 1204.92046
Milner, F. A.; Zhao, R.
13
2010
Semigroup analysis of structured parasite populations. Zbl 1187.92079
Farkas, J. Z.; Green, D. M.; Hinow, P.
13
2010
Bifurcations and chaotic dynamics in a tumour-immune-virus system. Zbl 1384.92038
Eftimie, R.; Macnamara, C. K.; Dushoff, Jonathan; Bramson, J. L.; Earn, D. J. D.
13
2016
On numerical solution of the Gardner-Ostrovsky equation. Zbl 1251.35134
Obregon, M. A.; Stepanyants, Y. A.
13
2012
Asymptotic behavior of a discrete maturity structured system of hematopoietic stem cell dynamics with several delays. Zbl 1337.34074
Adimy, M.; Crauste, F.; El Abdllaoui, A.
13
2006
Optimal proliferation rate in a cell division model. Zbl 1337.92048
Michel, P.
13
2006
Wave of chaos and pattern formation in spatial predator-prey systems with Holling type IV predator response. Zbl 1337.35080
Upadhyay, R. K.; Kumari, N.; Rai, V.
13
2008
Usefulness of biocontrol of pests in tea: a mathematical model. Zbl 1337.92184
Maiti, A.; Pal, A. K.; Samanta, G. P.
13
2008
Patterns and transitions to instability in an intraspecific competition model with nonlocal diffusion and interaction. Zbl 1336.92065
Aydogmus, O.
13
2015
An explicitly solvable nonlocal eigenvalue problem and the stability of a spike for a sub-diffusive reaction-diffusion system. Zbl 1275.35020
Nec, Y.; Ward, M. J.
13
2013
On threshold eigenvalues and resonances for the linearized NLS equation. Zbl 1193.35212
Vougalter, V.
13
2010
Allee effect in Gause type predator-prey models: existence of multiple attractors, limit cycles and separatrix curves. A brief review. Zbl 1285.92024
González-Olivares, E.; Rojas-Palma, A.
13
2013
Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping. Zbl 1467.92161
Souna, Fethi; Djilali, Salih; Charif, Fayssal
13
2020
Contact rate epidemic control of COVID-19: an equilibrium view. Zbl 1467.92193
Elie, Romuald; Hubert, Emma; Turinici, Gabriel
13
2020
Modeling and analysis of fractional neutral disturbance waves in arterial vessels. Zbl 1447.35336
Song, Feixue; Yu, Zheyuan; Yang, Hongwei
13
2019
Operational methods and new identities for Hermite polynomials. Zbl 1384.42017
Cesarano, C.
12
2017
Dynamics of a stochastic viral infection model with immune response. Zbl 1391.92023
Mahrouf, M.; Hattaf, K.; Yousfi, N.
12
2017
Constant versus periodic fishing: age structured optimal control approach. Zbl 1294.49019
Belyakov, A. O.; Veliov, V. M.
12
2014
A review of optimal chemotherapy protocols: from MTD towards metronomic therapy. Zbl 1321.92057
Ledzewicz, U.; Schättler, H.
12
2014
Mathematical modelling of spatiotemporal dynamics of oxygen in a plankton system. Zbl 1323.92219
Sekerci, Y.; Petrovskii, S.
12
2015
Decay in full von Kármán beam with temperature and microtemperatures effects. Zbl 1511.35029
Aouadi, Moncef; Guerine, Souad
1
2023
On a dynamical model of happiness. Zbl 1508.91455
Liz, Eduardo; Trofimchuk, Sergei
1
2023
Scientific breakdown of a ferromagnetic nanofluid in hemodynamics: enhanced therapeutic approach. Zbl 1514.92029
Bhatti, M. M.; Abdelsalam, Sara I.
4
2022
Spectral instability of small-amplitude periodic waves for hyperbolic non-Fickian diffusion advection models with logistic source. Zbl 1514.35083
Álvarez, Enrique; Murillo, Ricardo; Plaza, Ramón G.
3
2022
Analytical detection of stationary Turing pattern in a predator-prey system with generalist predator. Zbl 1518.35592
Dey, Subrata; Banerjee, Malay; Ghorai, Saktipada
3
2022
Mathematical modeling of inflammatory processes of atherosclerosis. Zbl 1506.35246
Abi Younes, G.; El Khatib, N.
2
2022
Immuno-epidemiological model-based prediction of further Covid-19 epidemic outbreaks due to immunity waning. Zbl 1491.92107
Ghosh, Samiran; Banerjee, Malay; Volpert, Vitaly
2
2022
Steady state non-Newtonian flow with strain rate dependent viscosity in thin tube structure with no slip boundary condition. Zbl 1511.35285
Panasenko, Grigory; Pileckas, Konstantin; Vernescu, Bogdan
2
2022
Homogenization of a microscopic pedestrians model on a convergent junction. Zbl 1514.35020
El Khatib, N.; Forcadel, N.; Zaydan, M.
2
2022
On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid. Zbl 1511.35266
Abdelsalam, Sara I.; Zaher, A. Z.
2
2022
Optimal control for a bone metastasis with radiotherapy model using a linear objective functional. Zbl 1519.92092
Camacho, A.; Díaz-Ocampo, E.; Jerez, S.
2
2022
Dynamics of a stochastic population model with Allee effect and jumps. Zbl 1492.92064
Liu, Rong; Liu, Guirong
1
2022
Nonlocal symmetry and interaction solutions for the new \((3+1)\)-dimensional integrable Boussinesq equation. Zbl 1484.35328
Hu, Hengchun; Li, Xiaodan
1
2022
Spatiotemporal pattern formation in a prey-predator model with generalist predator. Zbl 1487.35062
Manna, Kalyan; Banerjee, Malay
1
2022
A multiple timescale network model of intracellular calcium concentrations in coupled neurons: insights from ROM simulations. Zbl 1511.92022
Bandera, A.; Fernández-García, S.; Gómez-Mármol, M.; Vidal, A.
1
2022
Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations. Zbl 1520.35154
Almeida, Luís; Estrada, Jorge; Vauchelet, Nicolas
1
2022
Optimal multiplicative control of bacterial quorum sensing under external enzyme impact. Zbl 1516.92021
Maslovskaya, Anna; Kuttler, Christina; Chebotarev, Alexander; Kovtanyuk, Andrey
1
2022
Stochastic bifurcations and tipping phenomena of insect outbreak systems driven by \(\alpha\)-stable Lévy processes. Zbl 1519.37051
Yuan, Shenglan; Li, Yang; Zeng, Zhigang
1
2022
On numerical approximation of atangana-baleanu-Caputo fractional integro-differential equations under uncertainty in Hilbert space. Zbl 07372369
Al-Smadi, Mohammed; Dutta, Hemen; Hasan, Shatha; Momani, Shaher
9
2021
New exact traveling wave solutions to the (2+1)-dimensional chiral nonlinear Schrödinger equation. Zbl 1473.35513
Rezazadeh, Hadi; Younis, Muhammad; Shafqat-Ur-rehman; Eslami, Mostafa; Bilal, Muhammad; Younas, Usman
8
2021
Qualitative analysis and optimal control of an SIR model with logistic growth, non-monotonic incidence and saturated treatment. Zbl 1475.37101
Ghosh, Jayanta Kumar; Majumdar, Prahlad; Ghosh, Uttam
5
2021
Parallel time-stepping for fluid-structure interactions. Zbl 1469.76075
Margenberg, Nils; Richter, Thomas
5
2021
New aspects of fractional Bloch model associated with composite fractional derivative. Zbl 1469.82039
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
4
2021
Bifurcation control of a minimal model of marine plankton interaction with multiple delays. Zbl 1469.92138
Jiang, Zhichao; Jie, Maoyan
4
2021
Initial value problem for fractional Volterra integrodifferential pseudo-parabolic equations. Zbl 1469.35214
Phuong, Nguyen Duc; Tuan, Nguyen Anh; Kumar, Devendra; Tuan, Nguyen Huy
3
2021
Hopf bifurcation for an SIR model with age structure. Zbl 1467.92180
Cao, Hui; Yan, Dongxue; Xu, Xiaxia
2
2021
Error estimates for a robust finite element method of two-term time-fractional diffusion-wave equation with nonsmooth data. Zbl 1473.65211
Nong, Lijuan; Chen, An; Cao, Jianxiong
2
2021
Owner-intruder contests with information asymmetry. Zbl 1468.91017
Bisen, Jay; Farooq, Faheem; Hasan, Manaeil; Patel, Akhil; Rychtář, Jan; Taylor, Dewey
2
2021
Stability of neutral delay differential equations with applications in a model of human balancing. Zbl 1465.34079
Domoshnitsky, Alexander; Levi, Shai; Kappel, Ron Hay; Litsyn, Elena; Yavich, Roman
2
2021
Non-constant positive solutions of a general gause-type predator-prey system with self- and cross-diffusions. Zbl 1471.35130
Xue, Pan; Jia, Yunfeng; Ren, Cuiping; Li, Xingjun
2
2021
Modelling coffee leaf rust dynamics to control its spread. Zbl 1473.35594
Djuikem, Clotilde; Grognard, Frédéric; Wafo, Roger Tagne; Touzeau, Suzanne; Bowong, Samuel
2
2021
Dynamics of a vector-borne model with direct transmission and age of infection. Zbl 1475.37104
Tuncer, Necibe; Giri, Sunil
2
2021
SIARD model and effect of lockdown on the dynamics of COVID-19 disease with non total immunity. Zbl 1469.92101
Aziz-Alaoui, M. A.; Najm, F.; Yafia, R.
2
2021
A new approach to the dynamic modeling of an infectious disease. Zbl 1469.92124
Shayak, B.; Sharma, Mohit M.
2
2021
Reproduction number for an age of infection structured model. Zbl 1473.35588
Barril, Carles; Calsina, Àngel; Cuadrado, Sílvia; Ripoll, Jordi
2
2021
Effects of heterogeneity and global dynamics of weakly connected subpopulations. Zbl 1471.92288
Bichara, Derdei M.; Iggidr, Abderrahman; Yacheur, Souad
2
2021
Control of traveling localized spots. Zbl 1479.35081
Martens, S.; Ryll, C.; Löber, J.; Tröltzsch, F.; Engel, H.
1
2021
Editorial. Zbl 1465.00017
1
2021
Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system. Zbl 1469.92039
Balci, Ercan; Kartal, Senol; Ozturk, Ilhan
1
2021
Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity. Zbl 1467.92173
Bachraoui, Moussa; Ichou, Mohamed Ait; Hattaf, Khalid; Yousfi, Noura
1
2021
A partitioned numerical scheme for fluid-structure interaction with slip. Zbl 1468.76037
Bukač, Martina; Čanić, Sunčica
1
2021
A cellular automaton model for a pedestrian flow problem. Zbl 1468.76011
Felcman, Jiří; Kubera, Petr
1
2021
On the initial value problem for fractional Volterra integrodifferential equations with a Caputo-Fabrizio derivative. Zbl 1469.35234
Tuan, Nguyen Huy; Tuan, Nguyen Anh; O’Regan, Donal; Tri, Vo Viet
1
2021
Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity. Zbl 1473.35441
Galdi, Giovanni P.; Mazzone, Giusy
1
2021
A theoretical investigation of the frisbee motion of red blood cells in shear flow. Zbl 1465.74003
Mignon, Thierry; Mendez, Simon
1
2021
A generalized kinetic model of the advection-dispersion process in a sorbing medium. Zbl 1467.92257
Vieru, Dumitru; Fetecau, Constantin; Ahmed, Najma; Shah, Nehad Ali
1
2021
Mathematical analysis of a diffusive predator-prey model with herd behavior and prey escaping. Zbl 1467.92161
Souna, Fethi; Djilali, Salih; Charif, Fayssal
13
2020
Contact rate epidemic control of COVID-19: an equilibrium view. Zbl 1467.92193
Elie, Romuald; Hubert, Emma; Turinici, Gabriel
13
2020
On a quarantine model of coronavirus infection and data analysis. Zbl 1467.92229
Volpert, Vitaly; Banerjee, Malay; Petrovskii, Sergei
12
2020
COVID-19 pandemic control: balancing detection policy and lockdown intervention under ICU sustainability. Zbl 1467.92182
Charpentier, Arthur; Elie, Romuald; Laurière, Mathieu; Tran, Viet Chi
12
2020
Heterogeneous social interactions and the COVID-19 lockdown outcome in a multi-group SEIR model. Zbl 1467.92191
Dolbeault, Jean; Turinici, Gabriel
11
2020
Growth in the Muskat problem. Zbl 1473.35442
Granero-Belinchón, Rafael; Lazar, Omar
9
2020
A three phase model to investigate the effects of dead material on the growth of avascular tumours. Zbl 1467.92061
Lewin, Thomas D.; Maini, Philip K.; Moros, Eduardo G.; Enderling, Heiko; Byrne, Helen M.
8
2020
A stochastic time-delayed model for the effectiveness of Moroccan COVID-19 deconfinement strategy. Zbl 1468.92061
Zine, Houssine; Boukhouima, Adnane; Lotfi, El Mehdi; Mahrouf, Marouane; Torres, Delfim F. M.; Yousfi, Noura
8
2020
Rational wave solutions to a generalized (2+1)-dimensional Hirota bilinear equation. Zbl 1469.37049
Hosseini, K.; Mirzazadeh, M.; Aligoli, M.; Eslami, M.; Liu, J. G.
8
2020
Discrete and continuum phenotype-structured models for the evolution of cancer cell populations under chemotherapy. Zbl 1467.92101
Stace, Rebecca E. A.; Stiehl, Thomas; Chaplain, Mark A. J.; Marciniak-Czochra, Anna; Lorenzi, Tommaso
7
2020
Dynamics of COVID-19 pandemic at constant and time-dependent contact rates. Zbl 1467.92210
Kochańczyk, Marek; Grabowski, Frederic; Lipniacki, Tomasz
7
2020
A class of discrete predator-prey interaction with bifurcation analysis and chaos control. Zbl 1470.37111
Din, Qamar; Saleem, Nafeesa; Shabbir, Muhammad Sajjad
7
2020
A mathematical model of the beginnings of the coronavirus epidemic in France. (Un modèle mathématique des débuts de l’épidémie de coronavirus en France.) Zbl 1467.92172
Bacaër, Nicolas
6
2020
Accounting for symptomatic and asymptomatic in a SEIR-type model of COVID-19. Zbl 1467.92169
Arcede, Jayrold P.; Caga-Anan, Randy L.; Mentuda, Cheryl Q.; Mammeri, Youcef
6
2020
On the maximization problem for solutions of reaction-diffusion equations with respect to their initial data. Zbl 1469.35025
Nadin, Grégoire; Toledo Marrero, Ana Isis
6
2020
One-period stability analysis of polygonal sweeping processes with application to an elastoplastic model. Zbl 1468.74084
Gudoshnikov, Ivan; Kamenskii, Mikhail; Makarenkov, Oleg; Voskovskaia, Natalia
5
2020
Immuno-epidemiological model of two-stage epidemic growth. Zbl 1467.92174
Banerjee, Malay; Tokarev, Alexey; Volpert, Vitaly
5
2020
Optimal control for a mathematical model for chemotherapy with pharmacometrics. Zbl 1467.92094
Leszczyński, Maciej; Ledzewicz, Urszula; Schättler, Heinz
5
2020
Hopf bifurcation of an HIV-1 virus model with two delays and logistic growth. Zbl 1469.92126
Sun, Caixia; Li, Lele; Jia, Jianwen
4
2020
Optimal control techniques based on infection age for the study of the COVID-19 epidemic. Zbl 1467.92176
Bonnans, J. Frédéric; Gianatti, Justina
4
2020
Newton and Bouligand derivatives of the scalar play and stop operator. Zbl 07372581
Brokate, Martin
4
2020
A theoretical connection between the noisy leaky integrate-and-fire and the escape rate models: the non-autonomous case. Zbl 1473.35571
Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen Oana
4
2020
Control of Nipah virus outbreak in commercial pig-farm with biosecurity and culling. Zbl 1475.37099
Das, Samhita; Das, Pritha; Das, Parthasakha
4
2020
On mathematical modelling of temporal spatial spread of epidemics. Zbl 1467.92207
Khachatryan, Kh. A.; Narimanyan, A. Zh.; Khachatryan, A. Kh.
3
2020
Phase transitions in nematics: textures with tactoids and disclinations. Zbl 1473.35522
Golovaty, Dmitry; Kim, Young-Ki; Lavrentovich, Oleg D.; Novack, Michael; Sternberg, Peter
3
2020
Tumor width on T1-weighted MRI images of glioblastoma as a prognostic biomarker: a mathematical model. Zbl 1467.92108
Pérez-Beteta, Julián; Belmonte-Beitia, Juan; Pérez-García, Víctor M.
3
2020
A multi-scale model quantifies the impact of limited movement of the population and mandatory wearing of face masks in containing the COVID-19 epidemic in Morocco. Zbl 1473.35589
Bouchnita, Anass; Jebrane, Aissam
3
2020
Mathematical modelling for coronavirus disease (COVID-19) in predicting future behaviours and sensitivity analysis. Zbl 1467.92208
Khoshnaw, Sarbaz H. A.; Salih, Rizgar H.; Sulaimany, Sadegh
3
2020
Prediction of confinement effects on the number of COVID-19 outbreak in Algeria. Zbl 1467.92218
Moussaoui, Ali; Auger, Pierre
3
2020
Lifting the COVID-19 lockdown: different scenarios for France. Zbl 1467.92170
Augeraud-Véron, Emmanuelle
3
2020
A discrete epidemic model and a zigzag strategy for curbing the Covid-19 outbreak and for lifting the lockdown. Zbl 1467.92178
Boulmezaoud, Tahar Z.
3
2020
Modeling the dynamics of Wolbachia-infected and uninfected Aedes aegypti populations by delay differential equations. Zbl 1469.92103
Benedito, A. S.; Ferreira, C. P.; Adimy, M.
3
2020
Invariant measures for interval translations and some other piecewise continuous maps. Zbl 1475.37005
Kryzhevich, Sergey
2
2020
Fractional order prey-predator model with infected predators in the presence of competition and toxicity. Zbl 1472.34093
Lemnaouar, M. R.; Khalfaoui, M.; Louartassi, Y.; Tolaimate, I.
2
2020
The impact of competition between cancer cells and healthy cells on optimal drug delivery. Zbl 1473.35591
Cho, Heyrim; Levy, Doron
2
2020
Efficiency of hysteretic damper in oscillating systems. Zbl 1493.70080
Semenov, M. E.; Solovyov, Andrey M.; Meleshenko, Peter A.; Reshetova, Olga O.
2
2020
Effects of delayed immune-activation in the dynamics of tumor-immune interactions. Zbl 1470.92071
Das, Parthasakha; Das, Pritha; Das, Samhita
2
2020
Theory of optimal harvesting for a size structured model of fish. Zbl 1468.91108
Liu, Rong; Liu, Guirong
1
2020
On the shape of invading population in anisotropic environments. Zbl 1468.92021
Blavatska, Viktoria
1
2020
Multidimensional play operators with arbitrary \(BV\) inputs. Zbl 07372543
Recupero, Vincenzo
1
2020
Efficiency of cancer treatments: in silico experiments. Zbl 1467.92097
Piretto, Elena; Delitala, Marcello; Ferraro, Mario
1
2020
Analysis of the age-structured epidemiological characteristics of SARS-COV-2 transmission in mainland China: an aggregated approach. Zbl 1467.92235
Yang, Junyuan; Wang, Guoqiang; Zhang, Shuo; Xu, Fei; Li, Xuezhi
1
2020
Large deflections of inextensible cantilevers: modeling, theory, and simulation. Zbl 1468.74031
Deliyianni, Maria; Gudibanda, Varun; Howell, Jason; Webster, Justin T.
1
2020
Extinction and ergodic stationary distribution of a Markovian-switching prey-predator model with additional food for predator. Zbl 1470.92241
Guo, Xiaoxia; Ruan, Dehan
1
2020
Temporal cavity solitons in a delayed model of a dispersive cavity ring laser. Zbl 1469.78044
Pimenov, Alexander; Amiranashvili, Shalva; Vladimirov, Andrei G.
1
2020
The global stability of a class of history-dependent macroeconomic models. Zbl 1475.37106
Lamba, Harbir; Krejčí, Pavel; Rachinskii, Dmitrii
1
2020
On forward and inverse uncertainty quantification for models involving hysteresis operators. Zbl 07372583
Klein, Olaf; Davino, Daniele; Visone, Ciro
1
2020
Global stability in a competitive infection-age structured model. Zbl 1469.35028
Richard, Quentin
1
2020
Active control of an improved Boussinesq system. Zbl 1468.76018
Yildirim, Kenan
1
2020
Dynamics of a three species ratio-dependent food chain model with diffusion and double free boundaries. Zbl 1469.35045
Zhang, Dawei; Duan, Beiping; Dai, Binxiang
1
2020
Modeling the effect of temperature variability on malaria control strategies. Zbl 1475.37100
Garba, Salisu M.; Danbaba, Usman A.
1
2020
Analysis and simulations with a multi-scale model of canine visceral leishmaniasis. Zbl 1467.92233
Welker, Jonathan Shane; Martcheva, Maia
1
2020
New aspects of fractional Biswas-Milovic model with Mittag-Leffler law. Zbl 1423.35415
Singh, Jagdev; Kumar, Devendra; Baleanu, Dumitru
64
2019
Modeling the dynamics of hepatitis E. Zbl 1420.92106
Khan, Muhammad Altaf; Hammouch, Zakia; Baleanu, Dumitru
42
2019
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Cited by 6,367 Authors

81 Volpert, Vitaly A.
46 Băleanu, Dumitru I.
34 Banerjee, Malay
34 Owolabi, Kolade Matthew
32 Venturino, Ezio
25 Gómez-Aguilar, José Francisco
24 Atangana, Abdon
24 Vougalter, Vitali
22 Ruzhansky, Michael V.
21 Morozov, Andrew Yu.
20 Perthame, Benoît
19 Abdeljawad, Thabet
18 Byrne, Helen Mary
17 Singh, Jagdev
17 Suslina, Tat’yana Aleksandrovna
17 Wang, Zhi Cheng
16 Hammouch, Zakia
16 Kumar, Devendra
16 Labate, Demetrio
16 Rezapour, Shahram
16 Trofimchuk, Sergei I.
15 Keller, Matthias
15 Ruan, Shigui
15 Sene, Ndolane
15 Tokmagambetov, Niyaz Esenzholovich
15 Webb, Glenn Francis
14 Chaplain, Mark A. J.
14 Henry, Bruce I.
14 Kumar Upadhyay, Ranjit
14 Li, Wan-Tong
13 Angstmann, Christopher N.
13 Bocharov, Gennady A.
13 Khan, Muhammad Altaf
13 Preziosi, Luigi
13 Torres, Delfim Fernando Marado
12 Gonchenko, Sergey V.
12 Khan, Ilyas
12 Lorenzi, Tommaso
12 Marciniak-Czochra, Anna K.
12 Winkler, Michael
11 Adimy, Mostafa
11 Akgül, Ali
11 Bowong, Samuel
11 Ducrot, Arnaud
11 Jarad, Fahd
11 Leonenko, Nikolai N.
11 Pirozzi, Enrica
11 Samanta, Guru Prasad
11 Sandev, Trifce
11 Scianna, Marco
11 Sooppy Nisar, Kottakkaran
11 Wang, Zhijian
11 Wu, Shiliang
11 Zhuang, Xiaosheng
10 Aguiar, Maíra
10 Allali, Karam
10 Aniţa, Sebastian
10 Ascione, Giacomo
10 Bao, Xiongxiong
10 Chekroun, Abdennasser
10 Deng, Weihua
10 Guo, Kanghui
10 Han, Bin
10 Kooi, Bob W.
10 Kühn, Christian
10 Mackey, Michael Charles
10 Maini, Philip Kumar
10 Momani, Shaher M.
10 Nane, Erkan
10 Rashid, Saima
10 Salahshour, Soheil
10 Stollenwerk, Nico
10 Surulescu, Christina
10 Wang, Weiming
10 Ward, Michael J.
9 Apreutesei, Narcisa C.
9 Bayliss, Alvin
9 Bouchnita, Anass
9 Clairambault, Jean
9 Cournède, Paul-Henry
9 Craciun, Gheorghe
9 Farkas, József Zoltán
9 Feng, Zhaosheng
9 Hattaf, Khalid
9 Jiang, Daqing
9 Joshi, Badal
9 Kalisch, Henrik
9 Kuniya, Toshikazu
9 Mohammadi, Hakimeh
9 Muravnik, Andreĭ Borisovich
9 Özdemir, Necati
9 Pelinovsky, Dmitry Efimovich
9 Petrovskii, Sergei V.
9 Rachinskii, Dmitrii I.
9 Riaz, Muhammad Bilal
9 Saad, Khaled Mohammed
9 Sequeira, Adélia
9 Simakov, Sergey S.
9 Trucu, Dumitru
9 Vermeire, Brian C.
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Cited in 494 Journals

147 Mathematical Modelling of Natural Phenomena
143 Journal of Mathematical Biology
142 Journal of Theoretical Biology
133 Chaos, Solitons and Fractals
101 Bulletin of Mathematical Biology
90 Journal of Computational Physics
77 Physica A
74 Advances in Difference Equations
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53 Nonlinear Analysis. Real World Applications
51 Communications in Nonlinear Science and Numerical Simulation
39 Discrete and Continuous Dynamical Systems. Series S
37 Journal of Computational and Applied Mathematics
37 International Journal of Biomathematics
36 SIAM Journal on Applied Mathematics
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32 Computers and Fluids
32 Nonlinearity
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31 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
30 Computer Methods in Applied Mechanics and Engineering
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28 Computers & Mathematics with Applications
28 Fractals
28 AIMS Mathematics
27 SIAM Journal on Applied Dynamical Systems
24 Journal of Applied Mathematics and Computing
23 Journal of Mathematical Physics
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23 Journal of Biological Systems
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Fractional Calculus & Applied Analysis
21 Applicable Analysis
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21 Discrete Dynamics in Nature and Society
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20 Journal of Physics A: Mathematical and Theoretical
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19 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
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19 Computational and Applied Mathematics
18 Journal of Fluid Mechanics
18 Applied Mathematics Letters
18 Journal of Nonlinear Science
17 Transactions of the American Mathematical Society
17 Applied Numerical Mathematics
17 Abstract and Applied Analysis
15 European Journal of Applied Mathematics
14 Archive for Rational Mechanics and Analysis
14 Acta Applicandae Mathematicae
14 Mathematical Problems in Engineering
14 Nonlinear Dynamics
14 Journal of Function Spaces
13 Automatica
13 Complexity
13 The Journal of Fourier Analysis and Applications
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13 Journal of Mathematics
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12 Journal of Mathematical Sciences (New York)
12 Russian Journal of Numerical Analysis and Mathematical Modelling
12 Annales Henri Poincaré
12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
11 Proceedings of the American Mathematical Society
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11 Communications on Pure and Applied Analysis
10 Communications in Mathematical Physics
10 Integral Equations and Operator Theory
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Differential Equations and Dynamical Systems
10 Lobachevskii Journal of Mathematics
10 Qualitative Theory of Dynamical Systems
10 Multiscale Modeling & Simulation
9 SIAM Journal on Control and Optimization
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9 NoDEA. Nonlinear Differential Equations and Applications
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