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- Title
EFFECT OF CROSS DIFFUSION IN A COMPETITION MODEL WITH STAGE STRUCTURE.
- Authors
ZHANG, LINA; FU, SHENGMAO; HU, PING
- Abstract
The purpose of this paper is to study the effect of cross diffusion in a competition model with stage structure, under homogeneous Neumann boundary condition. It will be shown that cross diffusion cannot only destabilize a uniform positive equilibrium, it can also help diffusion to induce instability of the uniform positive equilibrium. Moreover, stationary patterns can arise from the effect of cross diffusion.
- Subjects
BIOLOGICAL competition models; DIFFUSION coefficients; NEUMANN boundary conditions; STATIONARY processes; EIGENVALUE equations; ORDINARY differential equations
- Publication
International Journal of Biomathematics, 2012, Vol 5, Issue 6, p-1
- ISSN
1793-5245
- Publication type
Article
- DOI
10.1142/S1793524512500520