این سایت در حال حاضر پشتیبانی نمی شود و امکان دارد داده های نشریات بروز نباشند
International Journal of Nonlinear Analysis and Applications، جلد ۱۴، شماره ۱، صفحات ۲۶۷۱-۲۶۸۶
عنوان فارسی
چکیده فارسی مقاله
کلیدواژه‌های فارسی مقاله
عنوان انگلیسی Backward bifurcation analysis in SIRS-SI of the dynamics of malaria transmission model with treatment
چکیده انگلیسی مقاله In this paper, we developed a mathematical model which describes the dynamics of malaria transmission with treatment based on the SIRS-SI framework, using the system of ordinary differential equations (ODE). In addition, we derive a condition for the existence of equilibrium points of the model and investigate their stability and the existence of backward bifurcation for the model. Our result shows that if the reproduction number $R_0$ is less than 1 the disease-free equilibrium point is stable so that the disease dies out. If $R_0$ is greater than 1, then the disease-free equilibrium point is unstable. In this, the endemic state has a unique equilibrium and the disease persists within the human population. A qualitative study based on bifurcation theory reveals that backward bifurcation may occur. The stable disease-free equilibrium of the model coexists with the stable endemic equilibrium when the basic reproduction number is less than one. Numerical simulations were carried out using a mat lab to support our analytical solutions. And these simulations show how treatment affects the dynamics of the human and mosquito population.
کلیدواژه‌های انگلیسی مقاله equilibrium points, stability, Endemic, reproduction number, Numerical Simulations
نویسندگان مقاله Alemu Geleta Wedajo |
Department of Mathematics, Wallagga University, P.O.Box: 395, Nekemte, Oromia Regional State, Ethiopia

Lemma Ebissa |
Department of Mathematics, Kemissie College of Teachers Education, Kemissie, Amhara Regional State, Ethiopia

نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_7344_72f3943a939173a5ff8d9e1c6fd6b713.pdf
فایل مقاله فایلی برای مقاله ذخیره نشده است
کد مقاله (doi)
زبان مقاله منتشر شده en
موضوعات مقاله منتشر شده
نوع مقاله منتشر شده
برگشت به: صفحه اول پایگاه   |   نسخه مرتبط   |   نشریه مرتبط   |   فهرست نشریات