Global attractivity in population dynamics

Global attractivity in an RBC survival model of Wazewska and Lasota

“…It has already been shown (see, e.g., [2,4]) that if x = x(t) is a solution of (7) that is eventually positive or eventually negative, then x(t) -> 0 as t tends to 00. It has also been shown [3] that if x = x(t) is an oscillatory solution of (7), then \x(t)\ < M for all large t. Thus, if x{t) is an oscillatory solution of (7) we see that -7N* < -M < x-< 0 < x+ < 00.…”

Global Attractivity of Positive Periodic Solutions for a Survival Model of Red Blood Cells

“…There exist a number of results that tell us when positive equilibrium x is a global attractor of all positive solutions of Eq. (4) (see e.g., [2][3][4]). …”

A global stability criterion for a family of delayed population models

“…Lasota-Wazewska model with distributed delay. Our first example is a generalization of the celebrated model proposed by Wazewska and Lasota in 1976 for the survival of red blood cells (see, for example, [6,10,11,12,16]),…”

“…Hence, in Section 3 we are able to apply our result not only to the most famous examples of equation (1.2) with variable delay, but also for the case of distributed or multiple delays, improving the results in [3,4,6,10,11,12,16]. For the reader's convenience, we state the main result in Section 2, and we prove it in Section 4, just after the section containing the applications.…”