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Zbl 1203.34133
Liu, Zhijun; Chen, Yiping; He, Zerong; Wu, Jianhua
Permanence in a periodic delay logistic system subject to constant impulsive stocking. (English)
[J] Math. Methods Appl. Sci. 33, No. 8, 985-993 (2010). ISSN 0170-4214; ISSN 1099-1476/e

This paper deals with a class of single species population dynamics models with hereditary effect, formulated as an impulsive delayed differential equation with periodic coefficients. The constant impulse is realized at fixed moments of time. Applying general comparison results established for impulsive differential equations, the main result of the paper consists of proving the persistence of solutions to the model. The paper ends with a numerical example that illustrates the theoretical result.
[Eva Sanchez (Madrid)]

MSC 2000:: *34K60 Applications of functional-differential equations
34K25 Asymptotic theory of functional-differential equations
34K45 Equations with impulses
92D25 Population dynamics

Keywords: permanence; periodic delayed logistic system; constant impulsive stocking

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