Local Bifurcation Analysis of a Stage Structured
Epidemiological Model with Michaelis-Menten
Predation and Prey Refuge

N. Mohana Sorubha Sundari; M. Valliathal

doi:https://doi.org/10.14445/22315373/IJMTT-V67I7P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 67 | Issue 7 | Year 2021 | Article Id. IJMTT-V67I7P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I7P510

Local Bifurcation Analysis of a Stage Structured Epidemiological Model with Michaelis-Menten Predation and Prey Refuge

N. Mohana Sorubha Sundari, M. Valliathal

Abstract

In this paper, we determine the conditions for the appearance of local bifurcations like Saddle-node, Transcritical and Pitchfork bifurcation at all the stable equilibrium points of a diseased stage structured prey-predator model with Michealis-Menten type response function and the disease transmission rate being linear. Bifurcation point is found out and by using Sotomayors’ theorem the occurrence of the bifurcation is established at the bifurcation point for the system.

Keywords

Eco-epidemiological, Local bifurcation, Michaelis Menten, , Prey predator, Stage structure.

References

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Citation :

N. Mohana Sorubha Sundari, M. Valliathal, "Local Bifurcation Analysis of a Stage Structured Epidemiological Model with Michaelis-Menten Predation and Prey Refuge," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 7, pp. 79-86, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I7P510