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A mathematical model for Creutzfeldt Jacob Disease (CJD)

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  • Salman, S.M.
  • Ahmed, E.

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.

Suggested Citation

  • Salman, S.M. & Ahmed, E., 2018. "A mathematical model for Creutzfeldt Jacob Disease (CJD)," Chaos, Solitons & Fractals, Elsevier, vol. 116(C), pages 249-260.
    • Handle: RePEc:eee:chsofr:v:116:y:2018:i:c:p:249-260
    DOI: 10.1016/j.chaos.2018.09.041
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    References listed on IDEAS

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    1. Li, Xiuying & Wang, Wendi, 2005. "A discrete epidemic model with stage structure," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 947-958.
    2. D’Innocenzo, A. & Paladini, F. & Renna, L., 2006. "A numerical investigation of discrete oscillating epidemic models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 497-512.
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    Cited by:

    1. Borah, Manashita & Das, Debanita & Gayan, Antara & Fenton, Flavio & Cherry, Elizabeth, 2021. "Control and anticontrol of chaos in fractional-order models of Diabetes, HIV, Dengue, Migraine, Parkinson's and Ebola virus diseases," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).

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