Pattern formation induced by intraspecific interactions in a predator-prey system
Abstract
Differential diffusion is a source of instability in population dynamics systems when species diffuse with different rates. Predator-prey systems show this instability only under certain specific conditions, usually requiring Holling-type functionals involved. Here we study the effects of intraspecific cooperation and competition on diffusion-driven instability in a predator-prey system with a different structure. We conduct the analysis on a generalized population dynamics that bounds intraspecific and interspecific interactions with Verhulst-type saturation terms instead of Holling-type functionals. We find that instability occurs due to the intraspecific saturation or intraspecific interactions, both cooperative and competitive. We present numerical simulations and show spatial patterns due to diffusion.
Cite
@article{arxiv.1905.07256,
title = {Pattern formation induced by intraspecific interactions in a predator-prey system},
author = {Luciano Stucchi and Javier Galeano and Desiderio A. Vasquez},
journal= {arXiv preprint arXiv:1905.07256},
year = {2020}
}
Comments
13 pages, 11 figures