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
Malaria is a life threatening vector borne disease caused by parasites that are transmitted to people through the bites of infected female Anopheles mosquitoes. In this paper, we study and analyze mathematical model of ordinary differential equations for human and mosquito with s...
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Research Article10.9734/JSRR/2019/46131
In this paper, we propose a SEIR-SEI optimal control model of malaria transmission with standard incidence rate. We present four control strategies to prevent the prevalence of infection in the society. In order to do this, we introduce an optimal control problem with an objectiv...
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Research Article10.9734/JSRR/2018/44293
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...
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Research Article10.9734/JAMCS/2018/44029
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...
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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...
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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...
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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...
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Research Article10.9734/arjom/2020/v16i330181
The present study highlights, HIV spread mathematical model which backing up UNAIDS goal to end AIDS in Sudan. We report our investigation, in mathematical modelling perspective about HIV spread, and suggest some possible measures in order to control the epidemic. UNAIDS goal inc...
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Research Article10.9734/JSRR/2018/43277
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....
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Research Article10.9734/BJMCS/2017/33659