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Yodzis, P. (1986) Competition, Mortality and Community Structure. In: Diamond, J.M. and Case, T.J., Eds., Community Ecology, Harper and Row, New York, 480-491.

has been cited by the following article:

• TITLE: Mathematical Modelling of Population Growth: The Case of Logistic and Von Bertalanffy Models

  AUTHORS: Mohammed Yiha Dawed, Purnachandra Rao Koya, Ayele Taye Goshu

  KEYWORDS: Predator-Prey, Koya-Goshu, Logistic, Population Growth, Von Bertalanffy

  JOURNAL NAME: Open Journal of Modelling and Simulation, Vol.2 No.4, September 12, 2014

  ABSTRACT: In this paper, some theoretical mathematical aspects of the known predator-prey problem are considered by relaxing the assumptions that interaction of a predation leads to little or no effect on growth of the prey population and the prey growth rate parameter is a positive valued function of time. The predator growth model is derived considering that the prey follows a known growth models viz., Logistic and Von Bertalanffy. The result shows that the predator’s population growth models look to be new functions. For either models, the predator population size either converges to a finite positive limit or to 0 or diverges to +∞. It is shown algebraically and illustrated pictorially that there is a condition at which the predator-prey population models both converge to the same finite limit. Derivations and simulation studies are provided in the paper. Analysis of equilibrium points and stability is also included.