ON STABILITY OF TIME DELAY OF 4-DIMENSIONAL LOTKA-VOLTERRA PREDATOR-PREY MODEL

M. A. Basudan (Yemen)

Received September 13, 2007

References:

[1] J. M. Cushing, Integrodifferential equations and delay models in population dynamics, Lecture Notes in Biomathematics, Vol. 20, Springer-Verlag, Berlin, New York, 1977. [2] H. El-Owaidy and A. A. Ammar, Stable oscillations in a predator-prey model with time lag, J. Math. Anal. Appl. 130 (1988), 191-199. [3] M. Farkas, Stable oscillations in a predator-prey model with time lag, J. Math. Anal. Appl. 102 (1984), 175-188. [4] A. Farkas and M. Farkas, Stable oscillations in more realistic predator-prey model with time lag (to appear). [5] N. MacDonald, Time delay in prey-predator models, Math. Biosci. 28 (1976), 321-330. [6] N. MacDonald, Time delay in prey-predator models, II, bifurcation theory, Math. Biosci. 33 (1977), 227-234.

Keywords and phrases: predator-prey model, stability, delay, bifurcation, periodic solution.