The global features of a fractional-order general pathogen infection model with immune deficiency and two types of target cells are examined in this chapter. Both cell-to-cell and pathogen-to-cell transmissions are presented. We demonstrate that the system solutions are positivity and confined, Lyapunov function is considered to show global asymptotic stability for disease-free equilibrium point of the model. Analytical expression for basic reproduction number and the required condition under which disease-free and chronic equilibrium points are asymptotically stable are determined. We carried out numerical simulations to utilize it to document the analytical results.
Research Abstract
Research Date
Research Department
Research Journal
Towards Intelligent Systems Modeling and Simulation. Studies in Systems, Decision and Control.
Research Member
Research Publisher
Springer, Cham
Research Vol
383
Research Website
https://doi.org/10.1007/978-3-030-79606-8_24
Research Year
2021
Research Pages
379-398