Bifurcations of an SIRS model with generalized non-monotone incidence rate
Advances in Difference Equations, 2018 We consider an SIRS epidemic model with a more generalized non-monotone incidence: χ(I)=κIp1+Iq $\chi(I)=\frac{\kappa I^{p}}{1+I^{q}}$ with 01$, by qualitative and bifurcation analyses, we show that the model undergoes a saddle-node bifurcation, a Hopf ...
Jinhui Li, Zhidong Teng
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Numerical Analysis of the Coupled Modified van der Pol Equations in a Model of Heart Action
Biomath, 2014 In this paper, a modified van der Pol equations are considered as a description of the heart action. Wide ranges of the model parameters yield interesting qualitative results, e.g.
Beata Zduniak
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Practical initialization of homoclinic orbits from a Bogdanov-Takens point [PDF]
, 2014 In a recent paper [IJBC, 24(04):1450057, 2014], we improved the theoretical base for the initialization of homoclinic orbits. However, practical application of this method is not very robust without the consideration of some numerical issues.
Al-Hdaibat, Bashir +3 more
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AxiomsA Leslie–Gower predator–prey model with nonlinear harvesting and a generalist predator is considered in this paper. It is shown that the degenerate positive equilibrium of the system is a cusp of codimension up to 4, and the system admits the cusp-type ...
Mengxin He, Zhong Li
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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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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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Complete Hopf and Bogdanov-Takens Bifurcation Analysis on Two Epidemic Models [PDF]
, 2022 Infectious diseases are a global problem that harms people’s health and well-being and severely threatens human survival. As an epidemiological model, the SIR model is commonly referred to as forecasting how illnesses will spread, how many people will become sick, and how long an epidemic will last. It is also possible to estimate other epidemiological
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