Nonselective harvesting of a prey-predator community with infected prey

Chattopadhyay, J. ; Ghosal, G. ; Chaudhuri, K. S. (1999) Nonselective harvesting of a prey-predator community with infected prey Journal of Applied Mathematics and Computing, 6 (3). pp. 601-616. ISSN 1598-5865

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Official URL: http://www.springerlink.com/content/u581j68807qwk7...

Related URL: http://dx.doi.org/10.1007/BF03009952

Abstract

The present paper deals with the problem of nonselective harvesting in a partly infected prey and predator system in which both the susceptible prey and the predator follow the law of logistic growth and some preys avoid predation by hiding. The dynamical behaviour of the system has been studied in both the local and global sense. The optimal policy of exploitation has been derived by using Pontraygin's maximal principle. Numerical analysis and computer simulation of the results have been performed to investigate the global properties of the system.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Nonselective Harvesting; Susceptible Prey; Infected Prey; Predator; Liapunov Function; Pontryagin's Maximum Principle
ID Code:7561
Deposited On:25 Oct 2010 11:09
Last Modified:30 May 2011 06:33

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