Dynamics of a Harvested Logistic Type Model with Delay and Piecewise Constant Argument

Aruğaslan, Duygu¹

¹ Department of Mathematics, Süleyman Demirel University, 32260, Isparta, Turkey

Journal of nonlinear sciences and its applications, Tome 8 (2015) no. 5, p. 507-517.

Résumé

In this paper, a harvested logistic equation with delay and piecewise constant argument of generalized type is addressed. Both discrete and piecewise constant delays are incorporated into the logistic equation for investigation. Existence, boundedness of positive solutions and permanence are studied for the proposed logistic model.

Détail

DOI : 10.22436/jnsa.008.05.06

Classification : 34K12, 92D25
Keywords: Delayed logistic equation, piecewise constant argument of generalized type, boundedness, permanence, harvesting.

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