TY - JOUR
T1 - Pattern formation induced by intraspecific interactions in a predator-prey system
AU - Stucchi, Luciano
AU - Galeano, Javier
AU - Vasquez, Desiderio A.
N1 - Publisher Copyright:
© 2019 American Physical Society.
PY - 2019/12/23
Y1 - 2019/12/23
N2 - 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.
AB - 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.
KW - Diffusion
KW - Ecosystems
KW - Population dynamics
KW - Stability
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UR - https://www.mendeley.com/catalogue/ec4b4b3e-7fe0-3e8a-afd3-e8a2277294c6/
U2 - 10.1103/PhysRevE.100.062414
DO - 10.1103/PhysRevE.100.062414
M3 - Article in a journal
SN - 2470-0045
VL - 100
JO - Physical Review E
JF - Physical Review E
IS - 6
M1 - 062414
ER -
