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Coexistence problem for a prey–predator model with density-dependent diffusion

✍ Scribed by Kousuke Kuto; Yoshio Yamada

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
346 KB
Volume
71
Category
Article
ISSN
0362-546X

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✦ Synopsis

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.

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