Prey-predators defensive switching model of Tanganyika lake

Authors:
Q. J. A. Khan
Affiliations:
Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Sultanate of Oman
Venue:
CONTROL'05 Proceedings of the 2005 WSEAS international conference on Dynamical systems and control
Year:
2005

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A model for the growth of a population exhibiting stage structure: cannibalism and cooperation

Journal of Computational and Applied Mathematics - Special issue: Oscillations in nonlinear systems: applications and numerical aspects

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Abstract

We studied a mathmetical model where two predators interact with one prey. The prey species is age structured having two life stages immature and mature. Predators consume both the young and adult of the prey individuals. The mature prey individuals guard itself more against the abundant predator individuals and the rare predator individuals gets greater hunting success. Interaction of both predator individuals with young prey will be more if young prey are in abundance because they have no defensive capability. Local and global stabilities of equilibrium sets are discussed.