Environmental periodicity and time delays in a “food-limited” population model. (English) Zbl 0701.92021

Gopalsamy, K.; Kulenović, M. R. S.; Ladas, G.

J. Math. Anal. Appl. 147, No. 2, 545-555 (1990).

Summary: Sufficient conditions are obtained for the existence of a globally attracting positive periodic solution of the food-limited population system modelled by the equation \[ \dot N(t)=r(t)((K(t)-N(t- m\omega))/(K(t)+c(t)r(t)N(t-m\omega))), \] where m is a nonnegative integer and K,r,c are continuous, positive, periodic functions of period \(\omega\).

MSC:

92D40	Ecology
34C25	Periodic solutions to ordinary differential equations
34K99	Functional-differential equations (including equations with delayed, advanced or state-dependent argument)
92D25	Population dynamics (general)

Keywords:

environmental periodicity; time delays; Sufficient conditions; globally attracting positive periodic solution; food-limited population system

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