Meet Inspiring Speakers and Experts at our 3000+ Global Conference Series Events with over 1000+ Conferences, 1000+ Symposiums
and 1000+ Workshops on Medical, Pharma, Engineering, Science, Technology and Business.

Explore and learn more about Conference Series : World's leading Event Organizer

Back

Parvaiz Ahmad Naik

Xian Jiaotong University, China

Title: Global Dynamics of a Fractional order SIR Epidemic Model for HIV Transmission with Memory

Biography

Biography: Parvaiz Ahmad Naik

Abstract

In this paper, we investigate and analyze a nonlinear fractional order SIR epidemic model with Crowley-Martin type functional response and Holling type-II treatment rate. The existence and stability of the equilibrium points are investigated. The sufficient conditions for the persistence of the disease are provided. First, we obtained a threshold value , which determines the stability of equilibria, then model equilibria are determined, and their stability analysis are considered by using fractional Routh-Hurwitz stability criterion and fractional La-Salle invariant principle. The fractional derivative is taken in Caputo sense and the numerical solution of the model is obtained by L1 scheme method which involves the memory trace that can capture and integrate all past activity. Meanwhile, by using Lyapunov functional approach, the global dynamics of the endemic equilibrium point is discussed. Further, some numerical simulations are performed to illustrate the effectiveness of our theoretical results.