Browsing by Author "Khan, Amir"
Now showing items 1-14 of 14
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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 ... -
Analysis of novel fractional COVID-19 model with real-life data application
İnç, Mustafa; Acay, Bahar; Berhe, Hailay Weldegiorgis; Yusuf, Abdullahi; Khan, Amir; Yao, Shao Wen (Elsevier, 04.2021)The current work is of interest to introduce a detailed analysis of the novel fractional COVID-19 model. Non-local fractional operators are one of the most efficient tools in order to understand the dynamics of the disease ... -
Dynamics of five grade leishmania epidemic model using fractional operator with Mittag–Leffler kernel
Rahat Zarin,; Khan, Amir; İnç, Mustafa; Humphries, Usa Wannasingha; Karite, Touria (Elsevier, 17.04.2021)In this article, the Anthroponotic Cutaneous Leishmania transmission is discussed. In addition, a mathematical model for the Anthroponotic Cutaneous Leishmania transmission is developed and its qualitative behavior is ... -
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 methicillin-resistant staphylococcus aureus infection model under caputo operator
Acay, Bahar; İnç, Mustafa; Khan, Amir; Yusuf, Abdullahi (Springer, 10.2021)This study provides a detailed exposition of in-hospital community-acquired methicillinresistant S. aureus(CA-MRSA) which is a new strain of MRSA, and hospital-acquired methicillin-resistant S. aureus (HA-MRSA) employing ... -
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, ... -
A hepatitis stochastic epidemic model with acute and chronic stages
Khan, Amir; Hussain, Ghulam; Yusuf, Abdullahi; Usman, Auwalu Hamisu; Humphries, Usa Wannasingha (Springer GmbH, 12.2021)The article is based on the study of hepatitis transmission dynamics using a stochastic epidemic model. We discuss the stochastic perturbations of our proposed model by considering the effect of environmental fluctuation ... -
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 ... -
Model of rice blast disease under tropical climate conditions
Kirtphaiboon, Sarinya; Humphries, Usa; Khan, Amir; Yusuf, Abdullahi (Elsevier, 02.2021)The Pyricularia oryzae is a fungus that leads to rice blast disease (RBD) in rice cultivar (Khao Dawk Mali 105), which grew in Thailand. The weather condition is one of the factors that affect plant and disease development. ... -
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 ... -
Reinitializing sea surface temperature in the ensemble intermediate coupled model for improved forecasts
Injan, Sittisak; Wangwongchai, Angkool; Humphries, Usa; Khan, Amir; Yusuf, Abdullahi (MDPI, 09.2021)The Ensemble Intermediate Coupled Model (EICM) is a model used for studying the El Niño-Southern Oscillation (ENSO) phenomenon in the Pacific Ocean, which is anomalies in the Sea Surface Temperature (SST) are observed. ... -
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 ... -
Stationary distribution and extinction of stochastic coronavirus (COVID-19) epidemic model
Khan, Amir; Ullah, Hedayat; Zahri, Mostafa; Humphries, Usa Wannasingha; Karite, Touria; Yusuf, Abdullahi; Ullah, Hakeem; Fiza, Mehreen (World Scientific, 2022)The aim of this paper is to model corona-virus (COVID-19) taking into account random perturbations. The suggested model is composed of four different classes i.e. the susceptible population, the smart lockdown class, the ...
