Differential and Integral Equations

Distributed delay logistic equations with harvesting

P. Satiracoo, T. Suebcharoen, and Graeme C. Wake

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In this paper, we present four models for distributed delay logistic equations with harvesting. We study the behavior of the solutions and the stability of the equilibria in each models. Further, we consider the existence of bifurcation for a distributed delay logistic equation with harvesting and a discounted past. We show that the long-term outcomes are affected by the discounting of the past history, and the nature of the harvesting strategy (constant or proportional harvesting are considered). Finally, a numerical simulation is performed to illustrate the obtained results.

Article information

Differential Integral Equations, Volume 22, Number 3/4 (2009), 321-337.

First available in Project Euclid: 20 December 2012

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35B40: Asymptotic behavior of solutions 35B41: Attractors 35A05


Suebcharoen, T.; Satiracoo, P.; Wake, Graeme C. Distributed delay logistic equations with harvesting. Differential Integral Equations 22 (2009), no. 3/4, 321--337. https://projecteuclid.org/euclid.die/1356019777

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