Analysis of a Three Age Group Preys with Control Measures of COVID-19 Spread in the Third Prey

International Journal of Mathematical Modelling & Computations

مقاله 4، دوره 11، 4 (Fall) - شماره پیاپی 44، اسفند 2021، صفحه 1-15   

نوع مقاله: Full Length Article

شناسه دیجیتال (DOI): 10.30495/ijm2c.2021.688265

نویسندگان

S. Saranya^{* 1}؛ S. Vijaya²

¹Department of Mathematics‎, Annamalai University‎, Chidambaram‎, ‎India

²Department of Mathematics‎, Annamalai University‎ Chidambaram‎, ‎India

چکیده

‎In this paper we study the covid-19 disease with treatment and control to spread it with different measures‎. ‎The model equations are analysed from the general MC Kendrick equations for age structured populations‎. ‎The existence,positiveness,boundedness and stability of equilibria are studied as they depend on the prey's natural carrying capacity‎. ‎The main result of this paper is the three age group population‎, ‎how to control and avoid to infect the disease from predator with local,global stability and Hopf bifurcation method also utilised.Finally the result of this model prey predator where numerical examples using maple software of Rossler type.

کلیدواژه‌ها

Equilibrium point؛ Age group preys؛ Hopf bifurcation؛ Stability switches؛ Carrying capacity؛ Time-dependent؛ Innate immune response