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Browsing by Author "Rafiq, Muhammad"

Browsing by Author "Rafiq, Muhammad"

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  • New applications related to Covid-19 
    Akgül, Ali; Ahmed, Nauman; Raza, Ali; Iqbal, Zafar; Rafiq, Muhammad; Baleanu, Dumitru; Rehman, Muhammad Aziz-ur (2021-01)
    Analysis of mathematical models projected for COVID-19 presents in many valuable outputs. We analyze a model of differential equation related to Covid-19 in this paper. We use fractal-fractional derivatives in the proposed ...
  • New applications related to hepatitis C model 
    Ahmed, Nauman; Raza, Ali; Akgül, Ali; Iqbal, Zafar; Rafiq, Muhammad; Ahmad, Muhammad Ozair; Jarad, Fahd (2022)
    The main idea of this study is to examine the dynamics of the viral disease, hepatitis C. To this end, the steady states of the hepatitis C virus model are described to investigate the local as well as global stability. ...
  • Numerical Analysis for the Effect of Irresponsible Immigrants on HIV/AIDS Dynamics 
    Ali, Muhammad Tariq; Baleanu, Dumitru; Rafiq, Muhammad; Awrejcewicz, Jan; Ahmed, Nauman; Raza, Ali; Iqbal, Muhammad Sajid; Ahmad, Muhammad Ozair (2023)
    The human immunodeficiency viruses are two species of Lentivirus that infect humans. Over time, they cause acquired immunodeficiency syndrome, a condition in which progressive immune system failure allows life-threatening ...
  • Numerical analysis of diffusive susceptible-infected-recovered epidemic model in three space dimension 
    Ahmed, Nauman; Ali, Mubasher; Baleanu, Dumitru; Rafiq, Muhammad; Rehman, Muhammad Aziz Ur (2020-03)
    In this article, numerical solution of three dimensional susceptible-infected-recovered (SIR) reaction-diffusion epidemic system is furnished with a time efficient operator splitting nonstandard finite difference (OS-NSFD) ...
  • Numerical Analysis of the Susceptible Exposed Infected Quarantined and Vaccinated (SEIQV) Reaction-Diffusion Epidemic Model 
    Ahmed, Nauman; Fatima, Mehreen; Baleanu, Dumitru; Nisar, Kottakkaran Soopp; Khan, Ilyas; Rafiq, Muhammad; Rehman, Muhammad Aziz Ur; Ahmad, Muhammad Ozair (2020-01-17)
    In this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting schemes are designed for the solution of reaction diffusion epidemic models. The proposed schemes preserve all the essential ...
  • Numerical and bifurcation analysis of spatio-temporal delay epidemic model 
    Jawaz, Muhammad; ur Rehman, Muhammad Aziz; Ahmed, Nauman; Baleanu, Dumitru; Rafiq, Muhammad (2021-03)
    HIV/AIDS is a distressing and incurable disease of the human beings. In this article, we have proposed a numerical structure for the HIV/AIDS compartmental model with diffusion and delay process. The proposed scheme has ...
  • Numerical Control Measures of Stochastic Malaria Epidemic Model 
    Rafiq, Muhammad; Ahmadian, Ali; Raza, Ali; Baleanu, Dumitru; Ahsan, Muhammad Sarwar; Sathar, Mohammad Hasan Abdul (2020)
    Nonlinear stochastic modeling has significant role in the all discipline of sciences. The essential control measuring features of modeling are positivity, boundedness and dynamical consistency. Unfortunately, the existing ...
  • Numerical investigation for the nonlinear model of hepatitis-B virus with the existence of optimal solution 
    Shahid, Naveed; Rehman, Muhammad Aziz-ur; Ahmed, Nauman; Baleanu, Dumitru; Iqbal, Muhammad Sajid; Rafiq, Muhammad (2021-07-11)
    In the recent article, a reaction-advection-diffusion model of the hepatitis-B virus (HBV) is studied. Existence and uniqueness of the optimal solution for the proposed model in function spaces is analyzed. The advection ...
  • Numerical Investigation of Malaria Disease Dynamics in Fuzzy Environment 
    Dayan, Fazal; Baleanu, Dumitru; Ahmed, Nauman; Awrejcewicz, Jan; Rafiq, Muhammad; Raza, Ali; Ahmad, Muhammad Ozair (2023)
    The application of fuzzy theory is vital in all scientific disciplines. The construction of mathematical models with fuzziness is little studied in the literature. With this in mind and for a better understanding of the ...
  • Numerical simulations for stochastic meme epidemic model 
    Raza, Ali; Rafiq, Muhammad; Baleanu, Dumitru; Arif, Muhammad Shoaib (2020-04-25)
    The primary purpose of this study is to perform the comparison of deterministic and stochastic modeling. The effect of threshold number is also observed in this model. For numerical simulations, we have developed some ...
  • Numerical simulations on scale-free and random networks for the spread of COVID-19 in Pakistan 
    Rafiq, Muhammad; Nizami, Abdul Rauf; Baleanu, Dumitru; Ahmad, Nadeem (2023-01)
    Epidemiology is the study of how and why an infectious disease occurs in a group of people. Several epidemiological models have been developed to get information on the spread of a disease in society. That information is ...
  • Numerical study of computer virus reaction diffusion epidemic model 
    Fatima, Umbreen; Baleanu, Dumitru; Ahmed, Nauman; Azam, Shumaila; Raza, Ali; Rafiq, Muhammad; Rehman, Muhammad Aziz-Ur (2021)
    Reaction–diffusion systems are mathematical models which link to several physical phenomena. The most common is the change in space and time of the meditation of one or more materials. Reaction–diffusion modeling is a ...
  • Optimality of solution with numerical investigation for coronavirus epidemic model 
    Shahid, Naveeda; Baleanu, Dumitru; Ahmed, Nauman; Shaikh, Tahira Sumbal; Raza, Ali; Iqbal, Muhammad Sajid; Rafiq, Muhammad; Aziz-Ur Rehman, Muhammad (2021)
    The novel coronavirus disease, coined as COVID-19, is a murderous and infectious disease initiated from Wuhan, China. This killer disease has taken a large number of lives around the world and its dynamics could not be ...
  • Optimization of Coronavirus Pandemic Model Through Artificial Intelligence 
    Alqarni, Manal M.; Nasir, Arooj; Baleanu, Dumitru; Raza, Ali; Cheema, Tahir Nawaz; Ahmed, Nauman; Rafiq, Muhammad; Fatima, Umbreen; Mahmoud, Emad E. (2023)
    Artificial intelligence is demonstrated by machines, unlike the natural intelligence displayed by animals, including humans. Artificial intelligence research has been defined as the field of study of intelligent agents,which ...
  • Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission 
    Iqbal, Zafar; Ahmed, Nauman; Baleanu, Dumitru; Adel, Waleed; Rafiq, Muhammad; Rehman, Muhammad Aziz-ur; Alshomrani, Ali Saleh (2020-05)
    In this article, an integer order nonlinear HIV/AIDS infection model is extended to the non-integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is designed to obtain the numerical solutions. ...
  • Positivity preserving computational techniques for nonlinear autocatalytic chemical reaction model 
    Ahmed, Nauman; Baleanu, Dumitru; Korkmaz, Alper; Rafiq, Muhammad; Rehman, Muhammad Aziz-Ur; Ali, Mubasher (2020)
    In many physical problems, positivity is one of the most prevalent and imperative attribute of diverse mathematical models such as concentration of chemical reactions, population dynamics etc. However, the numerical ...
  • Positivity Preserving Technique for the Solution of HIV/AIDS Reaction Diffusion Model With Time Delay 
    Jawaz, Muhammad Jawaz; Ahmed, Nauman; Baleanu, Dumitru; Rafiq, Muhammad; Rehman, Muhammad Aziz-ur (2020-01-15)
    This study is concerned with finding a numerical solution to the delay epidemic model with diffusion. This is not a simple task as variables involved in the model exhibit some important physical features. We have therefore ...
  • Spatio-Temporal Numerical Modeling of Auto-Catalytic Brusselator Model 
    Ahmed, Nauman; Rafiq, Muhammad; Baleanu, Dumitru; Rehman, Muhammad Aziz-Ur (Editura Academiei Romane, 2019-08-07)
    The main objective of this article is to propose a chaos free explicit finite-difference (FD) scheme to find the numerical solution for the Brusselator reaction-diffusion model. The scheme is unconditionally stable and it ...
  • Stability analysis and numerical simulations of spatiotemporal HIV CD4+T cell model with drug therapy 
    Ahmed, Nauman; Elsonbaty, Amr; Adel, Waleed; Baleanu, Dumitru; Rafiq, Muhammad (2020-08)
    In this study, an extended spatiotemporal model of a human immunodeficiency virus (HIV) CD4+ T cell with a drug therapy effect is proposed for the numerical investigation. The stability analysis of equilibrium points is ...
  • Stochastic Analysis for the Dynamics of a Poliovirus Epidemic Model 
    Raza, Ali; Baleanu, Dumitru; Khan, Zafar Ullah; Mohsin, Muhammad; Ahmad, Nauman; Rafiq, Muhammad; Anwar, Pervez (2023)
    Most developing countries such as Afghanistan, Pakistan, India, Bangladesh, and many more are still fighting against poliovirus. According to the World Health Organization, approximately eighteen million people have been ...