A SINGLE SPECIES POPULATION IN A POLLUTED ENVIRONMENT-Reference-Cited by-同舟云学术

A SINGLE SPECIES POPULATION IN A POLLUTED ENVIRONMENT

Published:2010-06 Issue:02 Volume:03 Page:187-204
ISSN:1793-5245
Container-title:International Journal of Biomathematics
language:en
Short-container-title:Int. J. Biomath.

Author:

PAL A. K.¹,SAMANTA G. P.²

Affiliation:

1. Department of Mathematics, St. Thomas' College of Engineering and Technology, Kolkata-700023, India

2. Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah-711103, India

Abstract

The effect of toxicants on ecological systems is an important and urgent issue from mathematical and experimental point of view. In this paper, we have studied the dynamical behavior of a single species population affected by environmental toxicant and population toxicant. Boundedness, local and global stabilities, bifurcation are addressed. We have also studied the effect of discrete delay of the environmental toxicant on the instantaneous growth rates of the population biomass and population toxicant due to incubation period. The length of delay preserving the stability is also estimated. Computer simulations are carried out to illustrate our analytical findings.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793524510000933

Reference21 articles.

1. A diffusive-convective model for the dynamics of population-toxicant interactions: some analytical and numerical results

2. Effects of toxicants on populations: A qualitative approach IV. Resource-consumer-toxicant models

3. Three-species food-chain models with mutual interference and time delays

4. Models for the effect of toxicant in single-species and predator-prey systems

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