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Akademický článek

Stability and spatiotemporal dynamics in a diffusive predator–prey model with nonlocal prey competition and nonlocal fear effect

Autor: Du, Yanfei, Sui, Mengting

Publikováno v: In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena November 2024 188

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Global dynamics in a predator-prey model with cooperative hunting and Allee effect and bifurcation induced by diffusion and delays

Autor: Du, Yanfei, Niu, Ben, Wei, Junjie

We consider the local bifurcation and global dynamics of a predator-prey model with cooperative hunting and Allee effect. For the model with weak cooperation, we prove the existence of limit cycle, heteroclinic cycle at a threshold of conversion rate

Externí odkaz: http://arxiv.org/abs/2007.12801

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Akademický článek

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Two delays induce Hopf bifurcation and double Hopf bifurcation in a diffusive Leslie-Gower predator-prey system

Autor: Du, Yanfei, Niu, Ben, Wei, Junjie

In this paper, the dynamics of a modified Leslie-Gower predator-prey system with two delays and diffusion is considered. By calculating stability switching curves, the stability of positive equilibrium and the existence of Hopf bifurcation and double

Externí odkaz: http://arxiv.org/abs/1811.06215

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Diffusion-induced spatio-temporal oscillations in an epidemic model with two delays

Autor: Du, Yanfei, Niu, Ben, Wei, Junjie

We investigate a diffusive, stage-structured epidemic model with the maturation delay and freely-moving delay. Choosing delays and diffusive rates as bifurcation parameters, the only possible way to destabilize the endemic equilibrium is through Hopf

Externí odkaz: http://arxiv.org/abs/1805.09466

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Double Hopf bifurcation in delayed reaction-diffusion systems

Autor: Du, Yanfei, Niu, Ben, Guo, Yuxiao, Wei, Junjie

Double Hopf bifurcation analysis can be used to reveal some complicated dynamical behavior in a dynamical system, such as the existence or coexistence of periodic orbits, quasi-periodic orbits, or even chaos. In this paper, an algorithm for deriving

Externí odkaz: http://arxiv.org/abs/1804.03775

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