Analysis and dynamically consistent nonstandard di

Authors: M Chapwanya J MS Lubuma Y A Terefe

Publish Date: 2015/12/17

Volume: 110, Issue: 2, Pages: 783-798

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Abstract

Rabies is a fatal disease in dogs as well as in humans A possible model to represent rabies transmission dynamics in human and dog populations is presented The next generation matrix operator is used to determine the threshold parameter mathcal R 0 that is the average number of new infective individuals produced by one infective individual introduced into a completely susceptible population If mathcal R 01 the diseasefree equilibrium is globally asymptotically stable while it is unstable and there exists a locally asymptotically stable endemic equilibrium when mathcal R 01 A nonstandard finite difference scheme that replicates the dynamics of the continuous model is proposed Numerical tests to support the theoretical analysis are providedThe authors acknowledge the financial support of the DST/NRF SARChI Chair in Mathematics Models and Methods in Bioengineering and Biosciences Thanks are also addressed to the two anonymous referees and to the editorinchief of the journal for their comments and suggestions

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