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International Journal of Scientific and Research Publications

IJSRP, Volume 5, Issue 10, October 2015 Edition [ISSN 2250-3153]


Local stability properties of a delayed SIR model with relapse effect
      B. G. Sampath Aruna Pradeep
Abstract: This paper investigates a time-delayed SIR model with a non-linear Beddington-DeAngelis type incidence rate function and relapse. Immunity of some diseases is temporary, that is, the recovered individuals may return to the infected class after a certain period of time. The local stability properties of the disease-free equilibrium and the endemic equilibrium were completely analyzed by utilizing the characteristic equations at particular equilibrium. It can be seen that local stability properties of the model is totally based on the basic reproduction number which depend on the latent time delay. It was obtained that the disease dies out when the basic reproduction number less than unity, and the disease remains endemic when greater than one.

Reference this Research Paper (copy & paste below code):

B. G. Sampath Aruna Pradeep (2018); Local stability properties of a delayed SIR model with relapse effect; Int J Sci Res Publ 5(10) (ISSN: 2250-3153). http://www.ijsrp.org/research-paper-1015.php?rp=P464660
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