The Dynamics of A Predator Prey Ecosystem Questions

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Exercise 13.14SOURCE:20201017152405modeling_complex_systems_chaper_13.pdfDevelop a PDE-based model that describes the dynamics of a predator-prey ecosystem with the following assumptions: • The prey population grows following the logistic growth model. • The predator population tends to decay naturally without prey. • Predation (i.e., encounter of prey and predator populations) increases the predator population while it decreases the prey population. • The predator population tends to move toward areas with high prey density. • The prey population tends to move away from areas with high predator density. • Both populations diffuse over spaceThe source attached

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Mathematical model

predator population

Prey Populations

PDE based model

prey habitat

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