A set of easily verifiable sufficient conditions is derived for the global existence of periodic solutions with strictly positive components for a periodic predator-prey system with infinite delays by using the method of coincidence degree.
Positive Periodic Solutions of a Periodic Integro-differential Competition System with Infinite Delays
β Scribed by M. Fan; K. Wang
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 104 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0044-2267
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## Abstract Using a degreeβtheoretic result of Granas, a homotopy is constructed enabling us to show that if there is an __a priori__ bound on all possible __T__βperiodic solutions of a Volterra equation, then there is a __T__βperiodic solution. The __a priori__ bound is established by means of a L
This paper deals with the existence of periodic solutions for some partial functional differential equations with infinite delay. We suppose that the linear part is nondensely defined and satisfies the HilleαYosida condition. In the nonlinear case we give several criteria to ensure the existence of