Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 11, Issue 3


Published
on

December 10, 2020


Pages

964-977


DOI

Article

Effect of fast migration on prey disease in a patchy system


Authors

Tanmay Chowdhury Affiliation:
Mrinalini Datta Mahavidyapith, Birati, Kolkata-700051, India


Abstract

The effect of predator migration in the predator -prey system with disease in the prey population remains untouched. In this article, I have considered the individual -level migration of susceptible prey, infected prey, and predators between two different patches. I construct a couple of ODE models taking two different time scales. I consider that the individual migration of the species is faster than their demographic changes like birth, death, disease transmission, and interaction with predators. First I have study the model taking a large class of density -dependent migration rates. It has been proved that the fast equilibrium point is unique and asymptotically stable. Then I aggregate the model taking the advantage of two different time scales and construct a SIP model. The model has been investigated both analytically and numerically considering some particular type of density -dependent migrations. The theoretical study of the model includes evaluation of equilibrium points, local stability, and basic reproduction numbers in different situations. I found numerically the sensitivity of basic reproduction number with respect to migration ratios and the Switching of equilibrium points due to predator migration.


Keywords

S-I-P model, fast migration, heterogeneous patches, basic reproduction number


Citation

Chowdhury, T. (2020). Effect of fast migration on prey disease in a patchy system. Turkish Journal of Computer and Mathematics Education, 11(3), 964–977.

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