1. A predator-prey model with combined death and competition terms.
- Creator:
- Kang, Joon Hyuk and Lee, Jungho
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- predator-prey model and coexistence state
- Language:
- English
- Description:
- The existence of a positive solution for the generalized predator-prey model for two species $$ \begin{gathered} \Delta u + u(a + g(u,v)) = 0\quad \mbox {in}\ \Omega ,\\ \Delta v + v(d + h(u,v)) = 0\quad \mbox {in} \ \Omega ,\\ u = v = 0\quad \mbox {on}\ \partial \Omega , \end{gathered} $$ are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public