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

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-7
Year of Publication : 2021
Authors : N. Mohana Sorubha Sundari, M. Valliathal
  10.14445/22315373/IJMTT-V67I7P510

MLA

MLA Style: 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 67.7 (2021):79-86. 

APA Style: N. Mohana Sorubha Sundari, M. Valliathal(2021). Local Bifurcation Analysis of a Stage Structured Epidemiological Model with Michaelis-Menten Predation and Prey Refuge International Journal of Mathematics Trends and Technology, 79-86.

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.

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