Special Session 45: Lie Symmetries, Conservation Laws and Other Approaches in Solving Nonlinear Differential Equations
Analysis of a dynamical system describing the evolution of HIV/AIDS in a population
jean yves J semegni
North-West University So Africa
Co-Author(s): Jean Yves Semegni, Siba Vyambuera, Nizar Marcus, Kazeem Oare Okosun, Peter Joseph Witbooi,Gbenga Jacob Abiodun
Abstract:
We exhibit a Lyapunov function to prove the global stability of the disease-free equilibrium, then we provide sensitivity analysis of certain parameters of the system. Finally we provide an optimal control strategy to mitigate the spread of the disease among the population.