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.