CONTROLLABILITY OF A HARVESTED PREY-PREDATOR SYSTEM WITH TIME DELAY-Reference-Cited by-同舟云学术

CONTROLLABILITY OF A HARVESTED PREY-PREDATOR SYSTEM WITH TIME DELAY

Published:2006-06 Issue:02 Volume:14 Page:243-254
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

KAR T. K.¹,MATSUDA H.¹

Affiliation:

1. Faculty of Environment and Information Sciences, Yokohama National University, 79-7, Tokiwadai, Hodogaya-ku, Yokohama, Kanagawa 240-8501, Japan

Abstract

In this paper, we have considered a prey-predator model with Holling type of predation and harvesting of mature predator species. Our study shows that, using the harvesting effort as control, it is possible to break the cyclic behavior of the system and drive it to a required steady state. It is also shown that the time delay can cause a stable equilibrium to become unstable and even switching of stabilities. We have also discussed the effects of bycatch of the immature species. Lastly, some numerical simulations are carried out.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339006001775

Reference15 articles.

1. A time-delay model of single-species growth with stage structure

2. Geometric Stability Switch Criteria in Delay Differential Systems with Delay Dependent Parameters

3. Optimal harvesting and stability for a two-species competitive system with stage structure

4. Modelling and analysis of a single-species system with stage structure and harvesting

5. Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay

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