SURVIVAL OF THE FITTEST IN A GENERALIZED LOGISTIC MODEL-Reference-Cited by-同舟云学术

SURVIVAL OF THE FITTEST IN A GENERALIZED LOGISTIC MODEL

Published:1999-12 Issue:09 Volume:09 Page:1379-1391
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

ACKLEH AZMY S.¹,MARSHALL DAVID F.¹,HEATHERLY HENRY E.¹,FITZPATRICK BEN G.²

Affiliation:

1. Department of Mathematics, University of Southwestern Louisiana, Lafayette, LA 70504-1010, USA

2. Tempest Technologies LLC, 4435 Coldwater Canyon Avenue, Suite 205, Studio City, CA 91604, USA

Abstract

In this paper we discuss the asymptotic behavior of a logistic model with distributed growth and mortality rates. In particular, we prove that the entire population becomes concentrated within the subpopulation with highest growth to mortality ratio, and converges to the equilibrium defined by this ratio. Finally, we present a numerical example illustrating the theoretical results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202599000610

Reference4 articles.

1. Estimation of rate distributions in generalized Kolmogorov community models

2. Estimation of growth rate distributions in size structured population models

3. Modeling and Estimation Problems for Structured Heterogeneous Populations

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