Browsing Faculty of Science and Education by Author "Kimathi, Mark"

Browsing Faculty of Science and Education by Author "Kimathi, Mark"

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  • Hopf-Bifurcation Analysis of Pneumococcal Pneumonia with Time Delays 
    Mbabazi, Fulgensia Kamugisha; Mugisha, Y. T.; Kimathi, Mark (Department of Mathematics, Pan African University Institute of Basic Sciences, Technology and Innovation, P.O. Box 62000–00200, Nairobi, Kenya, 2019-02-03)
    In this paper, a mathematical model of pneumococcal pneumonia with time delays is proposed. Te stability theory of delay differential equations is used to analyze the model. Te results show that the disease-free equilibrium ...
  • Importance of nested models in modeling infectious diseases. 
    Mbabazi, Fulgensia Kamugisha; Kimathi, Mark (Strathmore University, 2017-07)
    Mathematical models are believed to achieve good results in the prediction of disease prevalence. The progression of an infection within a host determines the capacity of a pathogen to spread to new hosts and to sustain ...

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