WIT Press


The Volterra-Kostitzin Integro-differential Model Of Population Dynamics Solved By The Decomposition Method (Adomian)

Price

Free (open access)

Paper DOI

10.2495/CMEM010951

Volume

30

Pages

9

Published

2001

Size

638 kb

Author(s)

C. Bordehore, A. Pascual, P. Grimalt

Abstract

The Volterra-Kostitzin integro-diff erential model of population dynamics solved by the decomposition method (Adomian) C. Bordehore', A. Pascuaf and P. Grimalt^ Institute Espanol de Oceanografia, Centra Oceanogrdfico de Murcia, Spain. 2 Departamento de Andlisis Matemdtico y Matemdtica Aplicada, Universidad de Alicante, Spain. Abstract The Volterra-Kostitzin model is derived from the Malthus and Verhulst models with the addition of an integral term, which represents a reinforcing or degrading factor (e.g. synergy or environment poisoning by the individuals of a population). Considering populations in a wide sense (e.g. molecules, cells or individuals), we argue that a certain number of published experimental results described under a logistic dynamic should be taken up again using the Volterra- Kostitzin model, which would reflect a better understanding of the stages involved in population growth. The fact that the solution of the integro- differential equation which describ

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