Journal of applied mathematics & informatics
- Volume 17 Issue 1_2_3
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- Pages.195-215
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
DYNAMICS OF A CLASS OF NON-AUTONOMOUS SYSTEMS OF TWO NON-INTERACTING PREYS WITH COMMON PREDATOR
- ELABBASY E. M. (Department of Mathematics, Faculty of Science, Maqnsoura University) ;
- SAKER S. H. (Department of Mathematics, Faculty of Science, Maqnsoura University)
- Published : 2005.01.01
Abstract
In this paper, we investigate the dynamics of the mathematical model of two non-interacting preys in presence of their common natural enemy (predator) based on the non-autonomous differential equations. We establish sufficient conditions for the permanence, extinction and global stability in the general non-autonomous case. In the periodic case, by means of the continuation theorem in coincidence degree theory, we establish a set of sufficient conditions for the existence of a positive periodic solutions with strictly positive components. Also, we give some sufficient conditions for the global asymptotic stability of the positive periodic solution.