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Volume 32, Issue 3
Effects of a Toxicant on a Single-Species Population with Partial Pollution Tolerance in a Polluted Environment

Jiamin Liu, Fengying Wei & Stefan A.H. Geritz

Ann. Appl. Math., 32 (2016), pp. 266-274.

Published online: 2022-06

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  • Abstract

We study a model for the long-term behavior of a single-species population with some degree of pollution tolerance in a polluted environment. The model consists of three ordinary differential equations: one for the population density, one for the amount of toxicant inside the living organisms, and one for the amount of toxicant in the environment. We derive sufficient conditions for the persistence and the extinction of the population depending on the exogenous input rate of the toxicant into the environment and the level of pollution tolerance of the organisms. Numerical simulations are carried out to illustrate our main results.

  • Keywords

single-species population, pollution tolerance, toxicant, persistence, extinction, long-term behavior.

  • AMS Subject Headings

34D05 92B05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAM-32-266, author = {Liu , JiaminWei , Fengying and Geritz , Stefan A.H.}, title = {Effects of a Toxicant on a Single-Species Population with Partial Pollution Tolerance in a Polluted Environment}, journal = {Annals of Applied Mathematics}, year = {2022}, volume = {32}, number = {3}, pages = {266--274}, abstract = {

We study a model for the long-term behavior of a single-species population with some degree of pollution tolerance in a polluted environment. The model consists of three ordinary differential equations: one for the population density, one for the amount of toxicant inside the living organisms, and one for the amount of toxicant in the environment. We derive sufficient conditions for the persistence and the extinction of the population depending on the exogenous input rate of the toxicant into the environment and the level of pollution tolerance of the organisms. Numerical simulations are carried out to illustrate our main results.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/aam/20642.html} }
TY - JOUR T1 - Effects of a Toxicant on a Single-Species Population with Partial Pollution Tolerance in a Polluted Environment AU - Liu , Jiamin AU - Wei , Fengying AU - Geritz , Stefan A.H. JO - Annals of Applied Mathematics VL - 3 SP - 266 EP - 274 PY - 2022 DA - 2022/06 SN - 32 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/aam/20642.html KW - single-species population, pollution tolerance, toxicant, persistence, extinction, long-term behavior. AB -

We study a model for the long-term behavior of a single-species population with some degree of pollution tolerance in a polluted environment. The model consists of three ordinary differential equations: one for the population density, one for the amount of toxicant inside the living organisms, and one for the amount of toxicant in the environment. We derive sufficient conditions for the persistence and the extinction of the population depending on the exogenous input rate of the toxicant into the environment and the level of pollution tolerance of the organisms. Numerical simulations are carried out to illustrate our main results.

Jiamin Liu, Fengying Wei & Stefan A.H. Geritz. (2022). Effects of a Toxicant on a Single-Species Population with Partial Pollution Tolerance in a Polluted Environment. Annals of Applied Mathematics. 32 (3). 266-274. doi:
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