A mathematical model for Creutzfeldt Jacob Disease (CJD)

S.M. Salman and E. Ahmed

Chaos, Solitons & Fractals, 2018, vol. 116, issue C, 249-260

Abstract: Creutzfeldt Jakob Disease (CJD) is a fatal disease which is transmitted by the ingestion of infectious materials (mainly BSE-contaminated beef). Here a simple mathematical model of its progress is given. Local stability analysis of fixed points of the model is studied. Moreover, codimension-one bifurcation analysis of fixed points is discussed. The model has a variety of bifurcation types such as transcritical, pitchfork and flip bifurcations. Numerical simulations are performed to illustrate analytical results obtained. Despite being a simple model, it discusses a non expected behavior which is increasing the parameter a, the growth rate of the healthy prions, the disease will persist in the population.

Keywords: Creutzfeldt Jakob Disease (CJD); Fixed points; Local stability; Bifurcation (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:116:y:2018:i:c:p:249-260

DOI: 10.1016/j.chaos.2018.09.041

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