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 Latest Issues 19 (2024) 18 (2023) 17 (2022) 16 (2021) 15 (2020) 14, No. 6 (2019) 14, No. 5 (2019) 14, No. 4 (2019) 14, No. 3 (2019) 14, No. 2 (2019) 14, No. 1 (2019) 13, No. 6 (2018) 13, No. 5 (2018) 13, No. 4 (2018) 13, No. 3 (2018) 13, No. 2 (2018) 13, No. 1 (2018) 12, No. 6 (2017) 12, No. 5 (2017) 12, No. 4 (2017) 12, No. 3 (2017) 12, No. 2 (2017) 12, No. 1 (2017) 11, No. 6 (2016) 11, No. 5 (2016) 11, No. 4 (2016) 11, No. 3 (2016) 11, No. 2 (2016) 11, No. 1 (2016) 10, No. 6 (2015) 10, No. 5 (2015) 10, No. 4 (2015) 10, No. 3 (2015) 10, No. 2 (2015) 10, No. 1 (2015) 9, No. 6 (2014) 9, No. 5 (2014) 9, No. 4 (2014) 9, No. 3 (2014) 9, No. 2 (2014) 9, No. 1 (2014) 8, No. 6 (2013) 8, No. 5 (2013) 8, No. 4 (2013) 8, No. 3 (2013) 8, No. 2 (2013) 8, No. 1 (2013) 7, No. 6 (2012) 7, No. 5 (2012) 7, No. 4 (2012) 7, No. 3 (2012) 7, No. 2 (2012) 7, No. 1 (2012) 6, No. 6 (2011) 6, No. 5 (2011) 6, No. 4 (2011) 6, No. 3 (2011) 6, No. 2 (2011) 6, No. 1 (2011) 5, No. 6 (2010) 5, No. 5 (2010) 5, No. 4 (2010) 5, No. 3 (2010) 5, No. 2 (2010) 5, No. 1 (2010) 4, No. 6 (2009) 4, No. 5 (2009) 4, No. 4 (2009) 4, No. 3 (2009) 4, No. 2 (2009) 4, No. 1 (2009) 3, No. 7 (2008) 3, No. 6 (2008) 3, No. 5 (2008) 3, No. 4 (2008) 3, No. 3 (2008) 3, No. 2 (2008) 3, No. 1 (2008) 2, No. 4 (2007) 2, No. 3 (2007) 2, No. 2 (2007) 2, No. 1 (2007) 1, No. 2 (2006) 1, No. 1 (2006) 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 all cited Publications top 5 cited Publications 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. 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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 ...and 579 more Documents all cited Publications top 5 cited Publications all top 5 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. ...and 6,267 more Authors all top 5 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 70 Discrete and Continuous Dynamical Systems. 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