Bifurcations of Equilibria of a Non-linear Age Structured Model
نویسنده
چکیده
A. In [6], M. E. Gurtin and R. C. MacCamy investigated a non-linear agestructured population dynamical model, which served as one of the basic non-linear population dynamical models in the last three decades. They described a characteristic equation but they did not use it to discuss stability of equilibria of the system in certain special cases. In a recent paper [4] M. Farkas deduced a characteristic equation in another form. This characteristic equation enabled us to prove results about the stability of stationary age distributions of the system, [3]. In the present paper we are going to investigate how equilibria arise and change their stability as a basic parameter of the system varies.
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