Hopf bifurcation in an age-structured population model with two delays | Zendy

Xianlong Fu | Zendy; Zhihua Liu | Zendy; Pierre Magal | Zendy

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Hopf bifurcation in an age-structured population model with two delays

Author(s) -

Xianlong Fu,

Zhihua Liu,

Pierre Magal

Publication year - 2015

Publication title -

communications on pure andamp applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.077

H-Index - 42

eISSN - 1553-5258

pISSN - 1534-0392

DOI - 10.3934/cpaa.2015.14.657

Subject(s) - hopf bifurcation , semigroup , mathematics , population model , transcritical bifurcation , bifurcation diagram , population , lag , bifurcation , function (biology) , stability (learning theory) , mathematical analysis , physics , computer science , demography , computer network , quantum mechanics , nonlinear system , evolutionary biology , machine learning , sociology , biology

This paper is devoted to the study of an age-structured population system with Riker type birth function. Two time lag factors is considered for the model. One lag lies in the birth process and the another is in the birth function. We investigate some dynamical properties of the equation by using integrated semigroup theory, through which we obtain some conditions of asymptotical stability and Hopf bifurcation occurring at positive steady state for the system. The obtained results show how the two delays affect these dynamical properties.

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