Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (2): 155-161.
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ZHOU Yi-Cang, MA Zhi-En
Online:
Published:
Supported by:
Project 19641004 supported by the National Natural Science Foundation of China
Abstract:
In this paper, the existence of periodic solutions for a time dependent agestructured population model is studied. The averaged net reproductive number is introduced as the main parameter to determine the dynamical behaviors of the model. The existence of a global parameterized branch of periodic solutions of the model is obtained by using the contracting mapping theorem in a periodic and continuous function space. The global stability of the trivial equilibrium is studied and a very practical stability criteria for the model is obtained. The dynamics of the linear time-periodic model is similar to that of the linear model.
Key words: Age-structure, population model, periodic solution, net reproductive number
CLC Number:
ZHOU Yi-Cang, MA Zhi-En. THE PERIODIC SOLUTIONS FOR TIME DEPENDENT AGE-STRUCTURED POPULATION MODELS[J].Acta mathematica scientia,Series B, 2000, 20(2): 155-161.
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