𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Environmental periodicity and time delays in a “food-limited” population model

✍ Scribed by K. Gopalsamy; M.R.S. Kulenović; G. Ladas


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
445 KB
Volume
147
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


The Effects of Temporal Delays in a Mode
✍ F.A. Davidson; S.A. Gourley 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 203 KB

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

Periodic solutions of a Lotka–Volterra t
✍ Rui Xu; M. A. J. Chaplain; F. A. Davidson 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 209 KB

## Abstract A delayed periodic Lotka–Volterra type population model with __m__ predators and __n__ preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the exist

Periodicity of equilibrium structures in
✍ Tsantas, N. ;Georgiou, A. C. 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 478 KB 👁 2 views

The problem of periodicity for a non-homogeneous Markov model in a stochastic environment is studied. The stochastic concept is established through the notion of optional scenarios applied on the transition process. It is proved that the sequence of so-called aggregate structures follows a certain p

The 3-D bifurcation and limit cycles in
✍ Lemin Zhu; Xuncheng Huang 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

## Abstract In this paper, by using a corollary to the center manifold theorem, we show that the 3‐D food‐chain model studied by many authors undergoes a 3‐D Hopf bifurcation, and then we obtain the existence of limit cycles for the 3‐D differential system. The methods used here can be extended to