Analyzing the influence of treatment awareness rate on COVID-۱۹ pandemic by fractional derivative-based modeling and simulation
سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 69
فایل این مقاله در 13 صفحه با فرمت PDF قابل دریافت می باشد
- صدور گواهی نمایه سازی
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_CMCMA-2-1_002
تاریخ نمایه سازی: 23 مرداد 1402
چکیده مقاله:
Covid-۱۹ disease is a respiratory illness caused by SARS-Cov-۲ and poses a serious public health risk. It usually spread from person-to-person. The fractional- order of covid-۱۹ was determined and basic reproduction number using the next generation matrix was calculated. The stability of disease-free equilibrium and endemic equilibrium of the model were investigated. Also, sensitivity analysis of the reproduction number with respect to the model parameters were carried out. It was observed that in the absence of infected persons, disease free equilibrium is achievable and is asymptotically stable. Numerical simulations were presented graphically. The results of the model analysis indicated that R_{۰} \mathrm{<} ۱ is adequate enough to reducing the spread of disease and disease persevere in the population when R_{۰} \mathrm{>} ۱ The numerical results showed that effective vaccination of the population helps in curtailing the spread of the viral disease. In order to know whether the disease may die out or persist, basic reproduction number, R_{۰} was obtained using Next Generation Matrix Method. It was observed that the value of R_{۰} is high when the depletion of awareness programme is high while the value of R_{o} is very low when the rate of implementation of awareness programme is high. So, neglecting the implementation of awareness program can have serious effect on the population. The model shows the implementation of awareness program is the key eradication to the pandemic.
کلیدواژه ها:
Covid-۱۹ ، Public Enlightenment ، Laplace Adomian Decomposition Method ، Fractional Derivative ، Numerical simulation
نویسندگان
Kehinde Bashiru
Department of Statistics, Osun State University, Osogbo, Nigeria
Mutairu Kolawole
Department of Mathematical Sciences, Osun State university, Osogbo, Nigeria.
Taiwo Ojurongbe
Department of Statistics, Osun State University, Osogbo.
Aasim Dhikrullah
Department of Mathematical Sciences, OSun State University, Osogbo, Nigeria
Hammed Adekunle
Department of Mathematical Sciences, Osun State University, Osogbo, Nigeria.
Habeeb Afolabi
Department of Statistical Sciences, Osun State University, Osogbo, Nigeria.