Stability and Hopf bifurcation of a predator-prey model with Smith growth rate and Monod–Haldane functional response

This paper focuses on the qualitative analysis of the diffusive Monod–Haldane predator-prey model with Smith growth rate under Neumann boundary condition. First, the stability of the solution of corresponding ODE system is studied, and then the Hopf divergence direction and the stability of periodic...

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Bibliographic Details
Published in:	Advances in continuous and discrete models Vol. 2025; no. 1; p. 46
Main Authors:	Feng, Xiaozhou, Li, Kunyu, Liu, Mengyan, Wang, Lin, Wang, Tonghui
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.12.2025 Springer Nature B.V
Subjects:	Analysis Biomathematical Modelling and Stochastic Analysis Boundary conditions Centre manifold theory Difference and Functional Equations Diffusion coefficient Diffusion rate Divergence Equilibrium Functional Analysis Growth models Hopf bifurcation Linear operators Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Predation Predator-prey simulation Predators Qualitative analysis Stability analysis Hopf analysis Neumann boundary condition Smith growth rate Turing instability
ISSN:	1687-1839, 2731-4235, 1687-1847
Online Access:	Get full text
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