A mathematical model for Creutzfeldt Jacob Disease (CJD). (November 2018)

• Record Type: Journal Article
• Authors: Salman, S.M.; Ahmed, E.
• Is Part Of: Chaos, solitons and fractals. Volume 116(2018)
• Page Start: 249
• Page End: 260
• Publication Date: 2018-11
• Subjects: Creutzfeldt Jakob Disease (CJD) -- Fixed points -- Local stability -- Bifurcation; 92D25; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.09.041
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: A mathematical model for Creutzfeldt Jakob Disease (CJD) is given. Local dynamics of the model are addressed. Co-dimension one bifurcation is analyzed. The disease will persist in the population if increasing the growth rate of the healthy prions. 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.