The predator-prey system with non-monotonic functional response is an interesting field of theoretical study. In this paper we consider a strongly coupled partial differential equation model with a non-monotonic functional response-a Holling type-IV function in a bounded domain with no flux boundary
An optimal control problem for a prey–predator system with a general functional response
✍ Scribed by N.C. Apreutesei
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 352 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0893-9659
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✦ Synopsis
An optimal control problem is studied for a prey-predator system with a general functional response. The control functions represent the rate of mixture of the populations and the cost functional is of Mayer type. The number of switching points of the optimal control is discussed in terms of the sign of a specific constant.
📜 SIMILAR VOLUMES
The present paper is concerned with a delayed predator-prey diffusion system with a Beddington-DeAngelis functional response and homogeneous Neumann boundary conditions. If the positive constant steady state of the corresponding system without delay is stable, by choosing the delay as the bifurcatio
In this paper, a strongly coupled system of partial differential equations in a bounded domain with the homogeneous Neumann boundary condition which models a predator-prey system with modified Holling-Tanner functional response is considered. First, the authors study the stability of the positive co