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 one to involve Holling-type functionals. 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.
|Número de artículo||062414|
|Publicación||Physical Review E|
|Estado||Publicada - 23 dic. 2019|
Nota bibliográficaFunding Information:
This work was supported by the Ministry of Economy and Competitiveness of Spain (Research Project MTM2015-63914-P). Ministry of Science, Innovation and Universities of Spain (Research Project PGC2018-093854-B-I00). APPENDIX A:
© 2019 American Physical Society.