Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

NONSELECTIVE HARVESTING OF A PREY-PREDATOR COMMUNITY WITH INFECTED PREY

  • Chattopadhyay, J. (Embryology Research Unit, Indian Statistical Institute) ;
  • Ghosal, G. (Sahapur harendranath Vidyapith) ;
  • Chaudhuri, K.S. (Dept. of Mathematics, Jadavpur University)
  • Published : 1999.09.01

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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 golbal properties of the system.

Keywords

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