Predator invasion in a spatially heterogeneous predator-prey model with group defense and prey-taxis

Zidie Zhang, Daiyong Wu and Nishan Li

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 226, issue C, 270-282

Abstract: This paper mainly studies a spatial predator–prey model with group defense and prey-taxis. The stability of the semi-trivial solution is examined by employing variational formulations and using the limiting behavior for the principal eigenvalue. Six different parametric restrictions dependent on the environmental carrying capacity are discussed to explore the effect of the prey-taxis and prey diffusion on the stability of the semi-trivial solution. Our analysis reveals that prey-taxis can change the stability of the semi-trivial solution in particular cases. Moreover, it is obtained that as long as the predator death rate is small enough, the predator can successfully invade no matter how the prey disperses. Numerical simulations illustrate that prey-taxis, group defense and environmental heterogeneity may have a synergistic effect on promoting predator invasion. It is determined that the intensity of environmental heterogeneity can affect the population size, and the predator may fail to invade due to the high environmental heterogeneity. Note that the role of group defense in predator invasion is related to the environmental carrying capacity.

Keywords: Prey-taxis; Group defense; Local stability; Environmental heterogeneity (search for similar items in EconPapers)
Date: 2024
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475424002659
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:226:y:2024:i:c:p:270-282

DOI: 10.1016/j.matcom.2024.07.014

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().