Bogdanov–Takens and triple zero bifurcations in general differential systems with m delays
Nonlinear Analysis: Modelling and Control, 2016 This paper mainly concerns the derivation of the normal forms of the Bogdanov–Takens (BT) and triple zero bifurcations for differential systems with m discrete delays. The feasible algorithms to determine the existence of the corresponding bifurcations of the system at the origin are given. By using center manifold reduction and normal form theory, the
Xia Liu, Jingling Wang
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Bogdanov-Takens Bifurcation of a Delayed Ratio-Dependent Holling-Tanner Predator Prey System
Abstract and Applied Analysis, 2013 A delayed predator prey system with refuge and constant rate harvesting is discussed by applying the normal form theory of retarded functional differential equations introduced by Faria and Magalhães.
Xia Liu, Yanwei Liu, Jinling Wang
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The Influence of Generalist Predator and Michaelis–Menten Harvesting in a Holling–Tanner Model
AxiomsIn this paper, a Holling–Tanner predator–prey model with generalist predators and Michaelis–Menten-type prey harvesting is investigated. We analyze the existence and stability of equilibria and find the system has at most three positive equilibria.
Tanglei Huang, Huiling Wu, Zhong Li
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Relative prevalence-based dispersal in an epidemic patch model. [PDF]
J Math Biol, 2023 Lu M, Gao D, Huang J, Wang H.
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Schooling behavior driven complexities in a fear-induced prey-predator system with harvesting under deterministic and stochastic environments. [PDF]
Sci Rep, 2023 Sk N, Pal S.
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An SIRS model with nonmonotone incidence and saturated treatment in a changing environment. [PDF]
J Math Biol, 2022 Pan Q, Huang J, Wang H.
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An efficient solution procedure for solving higher-codimension Hopf and Bogdanov–Takens bifurcations
Communications in Nonlinear Science and Numerical SimulationIn solving real world systems for higher-codimension bifurcation problems, one often faces the difficulty in computing the normal form or the focus values associated with generalized Hopf bifurcation, and the normal form with unfolding for higher-codimension Bogdanov-Takens bifurcation.
Bing Zeng, Pei Yu, Maoan Han
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Complex dynamics and control analysis of an epidemic model with non-monotone incidence and saturated treatment. [PDF]
Int J Dyn Control, 2023 Saha P, Ghosh U.
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Dynamics of a state-dependent delay-differential equation
Electronic Journal of Qualitative Theory of Differential EquationsWe present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model.
Tomas Gedeon +4 more
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