Spatial Dynamics of a Diffusive Prey-Predator Model with Stage Structure and Fear Effect

Spatial Dynamics of a Diffusive Prey-Predator Model with Stage Structure and Fear Effect

Year:    2022

Author:    Nana Zhu, Sanling Yuan

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 392–408

Abstract

To understand the influence of fear effect on population dynamics, especially for the populations with obvious stage structure characteristics, we propose and investigate a diffusive prey-predator model with stage structure in predators. First, we discuss the existence and stability of equilibrium of the model in the absence of diffusion. Then, we obtain the critical conditions for Hopf and Turing bifurcations. Some numerical simulations are also carried out to verify our theoretical results, which indicate that the fear can induce the prey population to show five pattern structures: cold-spot pattern, mixed pattern with cold spots and stripes, stripes pattern, hot-spot pattern, mixed pattern with hot spots and stripes. These findings imply that the fear effect induced by the mature predators plays an important role in the spatial distribution of species.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.12150/jnma.2022.392

Journal of Nonlinear Modeling and Analysis, Vol. 4 (2022), Iss. 2 : pp. 392–408

Published online:    2022-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    17

Keywords:    Prey-predator model Fear effect Stage-structured model Hopf bifurcation Turing bifurcation Pattern formation.

Author Details

Nana Zhu

Sanling Yuan