Keywords
limit cycle
Hartman Grobman theorem
LaSalle principle
Hopf bifurcation theorem
modelo de Gause
ciclo límite
teorema de Hartman Grobman
principio de LaSalle
teorema de la bifurcación de Hopf
How to Cite
Abstract
This paper demonstrates the existence of traveling waves as solutions for a predator - prey model with a Holling II predation function and a onedimensional diffusive term for predators. When performing a qualitative analysis on the model without diffusion, it follows that the model with diffusion presents periodic solutions. Similarly, by assuming a traveling wave-type solution to the diffusion model, it is shown that it has a heteroclinical orbit that connects two equilibrium points, attracted to one of them, and therefore presents wave fronts.
References
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