Exact travelling wave solutions of three-species competition-diffusion systems.
CC Chen, LC Hung, M Mimura… - Discrete & Continuous …, 2012 - search.ebscohost.com
CC Chen, LC Hung, M Mimura, D Ueyama
Discrete & Continuous Dynamical Systems-Series B, 2012•search.ebscohost.comWe consider the problem where W invades the (U; V) system in the three species Lotka-
Volterra competition-diflusion model. Numerical simulation indicates that the presence of W
can dramatically change the competitive interaction between U and V in some parameter
range if the invading W is not too small. We also construct exact travelling wave solutions
with non-trivial three components and track the bifurcation branches of these solutions by
AUTO.
Volterra competition-diflusion model. Numerical simulation indicates that the presence of W
can dramatically change the competitive interaction between U and V in some parameter
range if the invading W is not too small. We also construct exact travelling wave solutions
with non-trivial three components and track the bifurcation branches of these solutions by
AUTO.
Abstract
We consider the problem where W invades the (U; V) system in the three species Lotka-Volterra competition-diflusion model. Numerical simulation indicates that the presence of W can dramatically change the competitive interaction between U and V in some parameter range if the invading W is not too small. We also construct exact travelling wave solutions with non-trivial three components and track the bifurcation branches of these solutions by AUTO.
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