Modeling impact of varying pH due to carbondioxide on the dynamics of prey–predator species system
| Autor: | O. P. Misra, Divya Chaturvedi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
education.field_of_study
Extinction Chemistry Applied Mathematics Mortality rate 010102 general mathematics Population General Engineering Functional response General Medicine 01 natural sciences Predation 010101 applied mathematics Computational Mathematics Animal science Prey predator Growth rate 0101 mathematics education General Economics Econometrics and Finance Predator Analysis |
| Zdroj: | Nonlinear Analysis: Real World Applications. 46:374-402 |
| ISSN: | 1468-1218 |
| Popis: | In this paper, we have considered a nonlinear mathematical model to investigate the effect of pH on prey–predator dynamics with Holling type II functional response. In the model, capture rate, handling time, growth rate and death rate are considered to be pH dependent. From the analysis of the model, it has been observed that as pH level goes below the normal tolerance limit of prey species then the equilibrium density of prey population decreases due to increase in capture rate and decrease in handling time by predator. Further, we have shown that as the growth rate of prey population decreases due to lowering of pH then the density of predator population also decreases and both the populations may tend to extinction if growth rate of prey population becomes negative due to lowering of pH on account of elevated carbondioxide concentration in the aquatic body. Moreover, it is noticed from the simulation that if the mortality of predator population increases because of decrease in pH level then the prey population gets advantage and in-turn their population increases. |
| Databáze: | OpenAIRE |
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