In this paper we are interested in studying the combined effects of harvesting and time delay on the dynamics of the generalized Gause type predator-prey models. It is shown that in these models the time delay may cause a stable equilibrium to become unstable and even a switching of stabilities, on
Selective harvesting in a prey-predator fishery with time delay
✍ Scribed by T.K. Kar
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 543 KB
- Volume
- 38
- Category
- Article
- ISSN
- 0895-7177
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✦ Synopsis
In this paper, we have considered a prey-predator fishery model and discussed the selective harvesting of fishes above a certain age or size by incorporating a time delay in the harvesting term. It is shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Computer simulations are carried out to explain some mathematical conclusions.
📜 SIMILAR VOLUMES
A kind of predator-prey system with distributed time delay and impulsive harvest is firstly presented and then the effects of impulsive harvest on the system are discussed by means of chain transform. By using the Floquet's theory and the comparison theorem of impulsive differential equation, the th