We consider an adaptation of the well-known logistic equation in mathematical ecology in which the population is assumed to diffuse and for which the average growth rate is a function of some specified delayed argument. Using a combination of analytical and numerical techniques, we investigate the e
A population model for limited food competition
β Scribed by George G. Ross
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 690 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0022-5193
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π SIMILAR VOLUMES
The dynamics of a food-limited population model with delay are investigated. We prove that a sequence of Hopf bifurcations occur at the positive equilibrium as the delay increases. An explicit algorithm for determining the direction of the Hopf bifurcation and the stability of the bifurcating period
With the help of a continuation theorem based on Gaines and Mawhin's coincidence degree, easily verifiable criteria are established for the global existence of positive periodic solutions of a foodlimited population model with toxicant and state dependent delays, that is , where r(t), k(t), a(t),