IJPAM: Volume 95, No. 4 (2014)
IN A DELAYED STAGE-STRUCTURED
Department of Mathematics
Qiannan Normal College for Nationalities
Duyun, Guizhou, 558000, P.R. CHINA
Abstract. A prey-predator model with stage-structured for predator and time delay is considered. The characteristic equations of the equilibrium points are analyzed, by applying the theorem of Hopf bifurcation, the conditions for the positive equilibrium occurring local Hopf bifurcation are given. The conditions for the existence of global Hopf bifurcation of the system are obtained. Finally, numerical simulation and brief conclusion are given.
Received: March 31, 2013
AMS Subject Classification: 34K13, 34K18, 34K20, 34K60, 92D25
Key Words and Phrases: prey-predator system, stage-structured, time delay, Hopf bifurcation, global periodic solution
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DOI: 10.12732/ijpam.v95i4.1 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 493 - 502