Modeling and stability of reprotoxin’s effect on dynamical behavior: a real-life application

In this paper, a nonlinear mathematical model has been proposed and analyzed to study the effect of reprotoxin, a kind of toxicant affecting the reproductive capability of the biological population and is supposed to be emitted into the environment by some external sources. Reprotoxin decreases the...

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Veröffentlicht in:Modeling earth systems and environment 2020-03, Vol.6 (1), p.273-284
Hauptverfasser: Agrawal, Alok Kumar, Singh, Chetna, Agarwal, Anuj Kumar, Tripathi, Piyush Kumar
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Sprache:eng
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Zusammenfassung:In this paper, a nonlinear mathematical model has been proposed and analyzed to study the effect of reprotoxin, a kind of toxicant affecting the reproductive capability of the biological population and is supposed to be emitted into the environment by some external sources. Reprotoxin decreases the rate of reproduction in species producing harmful effect in different parts of reproductive system of biological species. Here, a system is assumed, where reproduction of species is being affected due to increasing reprotoxin’s emitted by the external sources. Since the reproductive system is a complex structure, so the effect of reprotoxin on the reproductive system causes failure of reproductive process at one or more stages. As reproduction increases the population of a particular species, but due to increased level of reprotoxin, the reproduction of species gets affected and population decreases rapidly. This model is highly applicable in those environments for the species including human, where the concentration level of reprotoxin is rising beyond the permissible limit.
ISSN:2363-6203
2363-6211
DOI:10.1007/s40808-019-00677-w