Dynamics of two species predator-prey model with spatially nonhomogeneous diffusion strategy

In this paper, we investigate a Holling type-II predator-prey system with spatially nonhomogeneous diffusion strategy. By employing the methods of the implicit function theorem, eigenvalue theory and bifurcation theory, we analyze the stability/instability of the positive steady state and explore th...

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Vydáno v:	Journal of mathematical analysis and applications Ročník 548; číslo 2; s. 129412
Hlavní autoři:	Ma, Li, Liang, Haihua, Wang, Huatao
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Elsevier Inc 15.08.2025
Témata:	Density dependent diffusion Hopf bifurcation Implicit function theorem Spatial heterogeneity Stability Spatial heterogeneity Implicit function theorem Stability Hopf bifurcation Density dependent diffusion
ISSN:	0022-247X
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Popis
Shrnutí:	In this paper, we investigate a Holling type-II predator-prey system with spatially nonhomogeneous diffusion strategy. By employing the methods of the implicit function theorem, eigenvalue theory and bifurcation theory, we analyze the stability/instability of the positive steady state and explore the existence of a Hopf bifurcation when the diffusion rate is large. Furthermore, when the driven diffusion functions Q1(x)=eqm(x) and Q2(x)≡1, we detailed discuss how the parameter q of the density dependent diffusion Q1(x) affect the occurrence of Hopf bifurcations and the values of Hopf bifurcations.
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2025.129412