Mathematical analysis of a model for HIV-malaria co-infection

Optimal control analysis of malaria–schistosomiasis co-infection dynamics

“…To the best of our knowledge, no work has been done to investigate the malaria-schistosomiasis co-infection dynamics or the application of optimal control methods. Recently, Mukandavire et al [31] proposed a deterministic model for the co-infection of HIV and malaria in a community. Mtisi et al [30] examined a deterministic model for the co-infection of tuberculosis and malaria, while Mushayabasa and Bhunu [32] proposed a model for schistosomiasis and HIV/AIDS co-dynamics.…”

A Mathematical Model of Measles with Vaccination and Two Phases of Infectiousness

“…The system (2) [14,15] for a similar approach.Case (a) of theorem 3 guarantees the existence of an endemic equilibrium whenever .When , case (c) indicates the possibility of a backward bifurcation (i.e., a situation where the locally asymptotically stable Disease Free Equilibrium co -exist with the locally asymptotically stable endemic equilibrium). This can be seen if we set the discriminant and solve for a critical value of .…”

Mathematical Analysis of the Effects of HIV-Malaria Co-infection on Workplace Productivity

“…For instance, Yang (2000) studied the impact of different levels of immunity and temperaturedependent parameters on the transmission dynamics of malaria. Tchuenche et al (2009) proposed and analyzed a mathematical model to study the dynamics of HIVmalaria co-infection and identified that reduction in sexual activity of malariainfected people decreases the number of new cases of HIV and the HIV-malaria coinfection while increasing the number of malaria cases. Sharomi et al (2008) proposed and analyzed a deterministic model that described the dynamics of HIV-TB co-infection and concluded that for low instances of resources where treatment of both infections is not possible, then treating only HIV leads to higher reduction in the number of new cases for the co-infection than treating only TB.…”