Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales

Periodic Solutions for Gause-Type Ratio-Dependent Predator-Prey Systems with Delays on Time Scales

This paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. I...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2013-01, Vol.2013 (2013), p.686-693-080
Hauptverfasser: Ding, Xiaoquan, Liu, Hongyuan, Wang, Fengye
Format: Artikel
Sprache:eng
Schlagworte:
Biological research
Biology, Experimental
Continuity
Criteria
Delay
Differential equations
Dynamical systems
Dynamics
Existence theorems
Mathematical models
Mathematical research
Ordinary differential equations
Periodic functions
Predation (Biology)
Science
Studies
Theorems
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Zusammenfassung:This paper is devoted to periodic Gause-type ratio-dependent predator-prey systems with monotonic or nonmonotonic numerical responses on time scales. By using a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of periodic solutions. In particular, our results improve and generalize some known ones.
ISSN:1026-0226
1607-887X
DOI:10.1155/2013/368176