Coexistence states for cooperative model with diffusion
β Scribed by Jianhua Wu; Guangsheng Wei
- Book ID
- 104352346
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 883 KB
- Volume
- 43
- Category
- Article
- ISSN
- 0898-1221
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β¦ Synopsis
In
this paper, we are mainly concerned with a cooperative system with a saturating interaction term for one species. Existence of coexistence states is investigated by global bifurcation theory, and exact results on regions in parameter space which have nontrivial nonnegative steady state solutions are given. The stability of coexistence states is also studied.
π SIMILAR VOLUMES
We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states.