Population Growth in a Closed System

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1983 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Review, volume 25, pages 93-95 (issn: 0036-1445, eissn: 1095-7200,

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Authors: Small, Robert D.;

doi: 10.1137/1025005

Population Growth in a Closed System

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Abstract

Volterra’s model for population growth in a closed system includes an integral term to indicate accumulated toxicity in addition to the usual terms of the logistic equation. Solutions to this equation are studied by means of singular perturbation techniques. Two major types of systems are discovered, those with populations immediately sensitive to toxins and those that succumb to toxins only after long times.

Keywords

Integro-ordinary differential equations, Population dynamics (general), singular perturbation techniques, population growth, Volterra model, closed system, Numerical methods for integral equations, integral transforms, model of the accumulated effect of toxins

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