논문KCI 등재
Periodic Solutions of a Delayed Population Model with One Predator and Two Preys
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Abstract
A delayed periodic Lotka-Volterra predator-prey model with one predator and two preys is investigated. By using Gaines and Mawhin’s continuation theorem of coincidence degree theory and by constructing appropr iate Lyapunov functionals, a set ofeasily veriable sufficient conditions are derived for the existence, uniqueness and global stability of positive periodic solutions to the model.
참고문헌 (7)
- "Convergence results in a well-known delayed predator-preysystem", 204, pp.840~853 (1996)
- "Coincidence Degree and Nonlinear Differential Equations", berlin (1977)
- "Global stability in two species interactions", 3, pp.313~318 (1976)
- "Theory of Functional Differential Equations", heidelberg (1977)
- "Stability and delays in a predator-prey system", 198, pp.355~370 (1996)
- "Delay Differential Equations with Applications in Population Dynamics", new york (1993)
- "Harmless delays for uniform persistence", pp.256~268 (1991)
관련 논문AI추천
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