Haskell, Evan C

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Virginia Commonwealth University VCU Scholars Compass Biology and Medicine Through Mathematics Conference Attraction-Repulsion Taxis Mechanisms in a Predator-Prey Model Evan C. Haskell Nova Southeastern University, haskell@nova.edu Follow this and additional works at: https://scholarscompass.vcu.edu/bamm  Part of the Life Sciences Commons, Medicine and Health Sciences Commons, and the Partial Differential Equations Commons https://scholarscompass.vcu.edu/bamm/2020/talk/34 This Event is brought to you for free and open access by the Dept. of Mathematics and Applied Mathematics at VCU Scholars Compass. It has been accepted for inclusion in Biology and Medicine Through Mathematics Conference by an authorized administrator of VCU Scholars Compass. For more information, please contact libcompass@vcu.edu. Attraction-Repulsion Taxis Mechanisms in aPredator-Prey ModelEvan Haskell, Nova Southeastern University, haskell@bnova.eduJonathan Bell, University of Maryland Baltimore County, jbell@umbc.eduWe consider a predator-prey model where the predator population favors theprey through biased diffusion toward the prey density, while the prey populationemploys a chemical repulsive mechanism. This leads to a quasilinear parabolicsystem. We first establish the global existence of positive solutions. Thereafterwe show the existence of nontrivial steady state solutions via bifurcation theory,then we discuss the stability of these branch solutions. Through numericalsimulation we analyze the nature of patterns formed and interpret results interms of the survival and distribution of the two populations.1

Attraction-Repulsion Taxis Mechanisms in a Predator-Prey Model

https://scholarscompass.vcu.edu/cgi/viewcontent.cgi?article=1378&context=bamm

Attraction-Repulsion Taxis Mechanisms in a Predator-Prey Model

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