Analysis of a Predator-Prey Model with
Modified Leslie-Gower and holling-Type II
Schemes with Time Delay
Non Linear Analysis : Real World Applications 7(5)
Nindjin A.F. , Aziz-Alaoui M.A. and M. Cadivel,
NonLinear Analysis Real World Applications, 7(5), pp. 1104-1118 (2006).
Labo. of Applied Maths., EA 3821,
Le Havre University, France.
Two-dimensional delayed continuous time dynamical system
modeling a predator-prey food chain, and based on a modified
version of Holling type-II scheme is investigated.
By constructing a Liapunov function, we obtain a sufficient
condition for global stability of the positive equilibrium.
We also present some related qualitative results for this system.
Key words :
Time delay, Boundedness, Permanent, Local stability,
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