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A sufficient and necessary condition for the existence of positive solutions for a prey–predator system with Ivlev-type functional response

✍ Scribed by Yunfeng Jia

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
213 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

We deal with a predator-prey interaction model with Ivlev-type functional response which is subject to the homogeneous Dirichlet boundary condition. On the basis of the fixed point index theory, we give a sufficient and necessary condition for the existence of positive solutions of the model.

📜 SIMILAR VOLUMES

Necessary and sufficient conditions for
Necessary and sufficient conditions for the existence of a G-type Lyapunov function
✍ Kaiqi Xiong 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 563 KB

We discuss the problem of absolute stability and the Aizerman conjecture. Necessary and sufficient conditions are derived for the Lurie-Postnikov system to be absolutely stable by using a G-type Lyapunov function. The conditions that we give will be easily verified in practical applications.