1. A mathematical model for Creutzfeldt Jacob Disease (CJD)
- Author
-
S. M. Salman and E. Ahmed
- Subjects
Quantitative Biology::Biomolecules ,education.field_of_study ,General Mathematics ,Applied Mathematics ,Population ,General Physics and Astronomy ,Statistical and Nonlinear Physics ,Fixed point ,01 natural sciences ,nervous system diseases ,010305 fluids & plasmas ,Bifurcation analysis ,Creutzfeldt Jacob Disease ,mental disorders ,0103 physical sciences ,Applied mathematics ,Fatal disease ,010306 general physics ,education ,Nonlinear Sciences::Pattern Formation and Solitons ,Bifurcation ,Mathematics - 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.
- Published
- 2018
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