Remarks on the Stability of Some Size-Structured Population Models V: The Case When the Death Rate Depends on Adults Only and the Growth Rate Depends on Size Only

Authors

M. El-Doma, University of Khartoum

Abstract

We continue our study of size-structured population dynamics models when the population is divided into adults and juveniles, started in El-Doma (To appear). We concentrate our efforts in the special case when the death rate depends on adults only, the growth rate depends on size only and the maximum size for an individual in the population is infinite. Three demographic parameters are identified and are shown to determine conditions for the (in)stability of a nontrivial steady state. We also give examples that illustrate the stability results. The results in this paper generalize previous results, for example, see Calsina, et al. (2003), El-Doma (2006), and El-Doma (2008).

Recommended Citation

El-Doma, M. (2009). Remarks on the Stability of Some Size-Structured Population Models V: The Case When the Death Rate Depends on Adults Only and the Growth Rate Depends on Size Only, Applications and Applied Mathematics: An International Journal (AAM), Vol. 4, Iss. 2, Article 12.
Available at: https://digitalcommons.pvamu.edu/aam/vol4/iss2/12