@inproceedings{01JBX7T4A83XYGG70PK3D2BR29,
  abstract     = {{We consider an SIR infection model with a general nonlinear transmission rate from the compartment of susceptible population (S) to the compartment of infected population (I). We assume that there is an infection-free equilibrium associated with the model, which pertains to the state at which there is no infection. We assume certain reasonable properties on the transmission function and the rates of birth, death and recovery of the population in compartments S and I. We then give a set of sufficient conditions under which the infection-free equilibrium is globally asymptotically stable. Next, we assume the existence of an endemic equilibrium, which represents a state at which the compartment I is not empty.  We then provide other biologically reasonable conditions that guarantee its global asymptotic stability. The proof of global asymptotic stability of the endemic equilibrium is based on the construction of a Lyapunov function which is a generalization of the standard Lyapunov function for the Lotka-Volterra prey-predator system. We finally illustrate our results via simulation of a certain SIR model that obeys all the conditions considered in the work.}},
  author       = {{Rao, Shodhan and Gasparyan, Manvel}},
  booktitle    = {{IFAC PAPERSONLINE}},
  issn         = {{2405-8963}},
  keywords     = {{Infection-free equilibrium,endemic equilibrium,basic reproduction number,Lyapunov stability,persistence,infection control factor,GLOBAL STABILITY,DYNAMICS}},
  language     = {{eng}},
  location     = {{Cambridge, UK}},
  number       = {{17}},
  pages        = {{37--42}},
  title        = {{Stability analysis of an SIR model with general transmission rates}},
  url          = {{http://doi.org/10.1016/j.ifacol.2024.10.110}},
  volume       = {{58}},
  year         = {{2024}},
}

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