If in the Verhulst equation for population growth the reproduction factor depends on the history then the equilibrium may become unstable and oscillations and even non-constant periodic solutions may occur. It is shown that the equilibrium is unstable if the reproduction factor at time t is, up to a
The effect of time lags on the stability of the equilibrium state of a population growth equation
โ Scribed by Harlan W. Stech
- Publisher
- Springer
- Year
- 1978
- Tongue
- English
- Weight
- 264 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0303-6812
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider the rate equation n = rn for the density n of a single species population in a constant environment. We assume only that there is a positive constant solution n\*, that the rate of increase r depends on the history of n and that r decreases for great n. The stability properties of the so
In this note, new criteria for the global asymptotic stability and the global exponential stability of a class of uncertain time-lag systems with time-varying delays are proposed. A numerical example is given to illustrate our main results.
h thii paper, we consider the effect of diffusion on the species that live in changing patches environment. Different from the former studies [l-4], we pay attention to the more important situation in co nservation biology that species live in a weak patches environment, in the sense that species in