Browsing by Author "Zarin, Rahat"
Now showing items 1-7 of 7
-
Analysis of fractional COVID-19 epidemic model under Caputo operator
Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Abdel-Khalek, Sayed; İnç, Mustafa (Wiley, 2021)The article deals with the analysis of the fractional COVID-19 epidemic model (FCEM) with a convex incidence rate. Keeping in view the fading memory and crossover behavior found in many biological phenomena, we study the ... -
Existence theory and numerical solution of leptospirosis disease model via exponential decay law
Khan, Amir; Raouf, Abdur; Zarin, Rahat; Yusuf, Abdullahi; Humphries, Usa Wannasingha (American Institute of Mathematical Sciences, 2022)We investigated the leptospirosis epidemic model by using Caputo and Fabrizio fractional derivatives. Picard’s successive iterative method and Sumudu transform are taken into consideration for developing the iterative ... -
Fractional modeling of COVID-19 epidemic model with harmonic mean type incidence rate
Jitsinchayakul, Sowwanee; Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Zaman, Gül; Humphries, Usa Wannasingha; Sulaiman, Tukur Abdulkadir (De Gruyter Open, 01.01.2021)Coronavirus disease 2019 (COVID-19) is a disease caused by severe acute respiratory syndrome coronavirus 2 (SARS CoV-2). It was declared on March 11, 2020, by the World Health Organization as a pandemic disease. Regrettably, ... -
Mathematical analysis of a new nonlinear dengue epidemic model via deterministic and fractional approach
Gu, Yu; Khan, Mohabat; Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Humphries, Usa Wannasingha (Alexandria University, 2023)Abstract We developed a dengue epidemic model by considering hospitalized class and harmonic mean incidence rate. A qualitative study of the proposed model was conducted. The Basic reproduction number, and local and global ... -
Numerical and theoretical analysis of rabies model under the harmonic mean type incidence rate
Khan, Amir; Zarin, Rahat; Ahmed, Iftikhar; Yusuf, Abdullahi; Humphries, Usa Wannasingha (Elsevier, 10.2021)In recent years, rabies virus transmission has affected the community widely. Therefore, the study of this deadly virus transmission acquires a significant place in the epidemic spreading. One way to know about the inner ... -
Stability analysis and optimal control of covid-19 with convex incidence rate in Khyber Pakhtunkhawa (Pakistan)
Khan, Amir; Zarin, Rahat; Hussain, Ghulam; Ahmad, Noor Atinah; Mohd, Mohd Hafiz; Yusuf, Abdullahi (Elsevier, 2021)The dynamic of covid-19 epidemic model with a convex incidence rate is studied in this article. First, we formulate the model without control and study all the basic properties and results including local and global ... -
Stability analysis of five grade leishmania epidemic model with harmonic mean type incidence rate
Khan, Karim; Zarin, Rahat; Khan, Amir; Yusuf, Abdullahi; Al-Shomrani, Mohammed; Ullah, Arif (Springer GmbH, 12.2021)In this paper, we discuss the Anthroponotic Cutaneous Leishmania transmission. In addition, we develop a mathematical model for the Anthroponotic Cutaneous Leishmania transmission and consider its qualitative behavior. We ...
