A non-linear SHTR mathematical model was used to study the dynamics of drinking epidemic. We discussed the existence and stability of the drinking-free and endemic equilibria. The drinking-free equilibrium was locally asymptotically stable if R0 < 1and unstable if R0 > 1....
Open access
Research Article10.9734/BJMCS/2017/33659
Our model is made up of two sections: In the first section, we study a simple SEIR model, estimated the reproduction number, discussed the disease-free and endemic equilibria using the Routh-Hurwitz criterion and second additive compound matrix respectively. A global stability of...
Open access
Research Article10.9734/JAMCS/2017/37843
Our study is made up two sections: Non-smokers, problem- smokers, smokers-in-treatment and counselling, and removed-smokers (SPTcR) mathematical model that explains the dynamics of smoking epidemic without considering the recovery class to susceptible class transferring followed...
Open access
Research Article10.9734/JAMCS/2017/37328
We have studied an SEIR mathematical model, and applied it to malaria transmission. We discussed the existence and stability of the Disease-Free (DFE) and Endemic Equilibria (EE) of both models. The (DFE) was locally asymptotically stable if the reproduction number is less than o...
Open access
Research Article10.9734/ARJOM/2017/37471
The epidemiology of tuberculosis model, which includes exogenous reinfection and treatment, is analyzed. We consider both the diagnosed and the undiagnosed individuals as infectious. Since tuberculosis is treatable, we also included the treatment for diagnosed infective. We prese...
Open access
Research Article10.9734/arjom/2020/v16i330181
In this paper, an Immunity-Susceptible-Exposed-Infectious-Recovery (MSEIR) mathematical model was used to study the dynamics of measles transmission. We discussed that there exist a disease-free and an endemic equilibria. We also discussed the stability of both disease-free and e...
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Research Article10.9734/arjom/2019/v12i330090
In this paper, we propose a SEIR-SEI epidemic model for malaria transmission which describes the interaction between human and mosquito population, with the effects of antibodies produced by the incidence rates for humans and mosquitoes respectively and two optimal controls. We i...
Open access
Research Article10.9734/JAMCS/2018/44029