Global stability analysis of an SIR model with bilinear incidence rate

Muhammad Abdullahi Yau, Muktari Garba


In this research work, we derive and analyse an $SIR$ model with bilinear incidence rate.
and  We prove both global and local stability of the disease-free steady state and endemic equilibrium state.
Using the idea of Lyapunov direct aproach by combining composite quadratic and linear functions we prove that
the system equilibria are locally and globally asymptotically stable for any parameter regime

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