• Corpus ID: 20321309

Backward bifurcation in SIRS malaria model

  title={Backward bifurcation in SIRS malaria model},
  author={Miliyon Tilahun},
  journal={arXiv: Populations and Evolution},
  • Miliyon Tilahun
  • Published 4 July 2017
  • Mathematics
  • arXiv: Populations and Evolution
We present a deterministic mathematical model for malaria transmission with waning immunity. The model consists of five non-linear system of differential equations. We used next generation matrix to derive the basic reproduction number $R_0$. The disease free equilibrium was computed and its local stability has been shown by the virtue of the Jacobean matrix. Moreover, using Lyapunov function theory and LaSalle Invariance Principle we have proved that the disease free equilibrium is globally… 

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