Evolutionary optimized Padé approximation scheme for analysis of covid-19 model with crowding effect

Operations Research Perspectives - Tập 8 - Trang 100207 - 2021
Javaid Ali1, Ali Raza2,3, Nauman Ahmed4, Ali Ahmadian5,6,7, Muhammad Rafiq8, Massimiliano Ferrara7
1Department of Mathematics, GGCT, Punjab Higher Education Department, Lahore, Pakistan
2Department of Mathematics, National College of Business Administration and Economics Lahore, Pakistan
3Department of Mathematics, Govt. Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department, Lahore, Pakistan
4Department of Mathematics and Statistics, The University of Lahore, Pakistan
5Institute of IR 4.0, The National University of Malaysia, 43600 UKM, Selangor, Malaysia
6Department of Mathematics, Near East University Nicosia, TRNC, Turkey
7Department of Law, Economics and Human Sciences & Decisions Lab, University Mediterranea of Reggio Calabria, 89125, Reggio Calabria Italy
8Department of Mathematics, Faculty of Sciences, University of Central Punjab, Lahore, Pakistan

Tài liệu tham khảo

Zeb, 2020, Mathematical model for coronavirus disease 2019 (Covid-19) containing isolation class, Biomed Res Int, 10, 1 Riyapan, 2021, A mathematical model of covid-19 pandemic: a case study of bangkok, thailand, Comput Math Methods Med, 2021, 1, 10.1155/2021/6664483 Oud, 2021, A fractional-order mathematical model for covid-19 dynamics with quarantine, isolation, and environmental viral load, Advan Difference Equations, 2021, 1 Shaikh, 2021, A mathematical model of covid-19 using fractional derivative: outbreak in india with dynamics of transmission and control, Advan Difference Equations, 2020, 1 Ahmed, 2021, A mathematical model of coronavirus disease (Covid-19) containing asymptomatic and symptomatic classes, Results in Physics, 2021, 1 Ullah, 2020, Modelling the impact of non-pharmaceutical interventions on the dynamics of novel coronavirus with optimal control analysis with a case study, Chaos, Solitons Fractals, 2020, 1 Peter, 2021, A new mathematical model of covid-19 using real data from pakistan, Results in Phy, 2021, 1 Nazir, 2021, Study of covid-19 mathematical model of fractional order via modified euler method, Alexandria Engineering Journal, 60, 5287, 10.1016/j.aej.2021.04.032 Kyrychko, 2020, Mathematical modelling of the dynamics and containment of covid-19 in ukraine, Sci Rep, 10, 1, 10.1038/s41598-020-76710-1 Khoshnaw, 2020, Mathematical modelling for coronavirus disease (Covid-19) in predicting future behaviours and sensitivity analysis, Math Model Nat Phenom, 10, 1 Sasmita, 2020, Optimal control on a mathematical model to pattern the progression of coronavirus disease 2019 (Covid-19) in indonesia, Global Health Research and Policy, 5, 1, 10.1186/s41256-020-00163-2 Tiwari, 2020, Mathematical modelling based study and prediction of covid-19 epidemic dissemination under the impact of lockdown in india, medRxiv, 6, 1 Wang, 2021, Mathematical modelling of transmission dynamics of covid-19, Big Data and Information Analytics, 6, 12, 10.3934/bdia.2021002 Baek, 2020, A mathematical model of covid-19 transmission in a tertiary hospital and assessment of the effects of different intervention strategies, PLoS One, 15, 1, 10.1371/journal.pone.0241169 Santaella-Tenorio, 2020, Mathematical model and covid-19 modelos matemáticos y el covid-19, Colomb. Med., 51, 1, 10.25100/cm.v51i2.4272 Peter, 2020, Analysis and dynamics of fractional-order mathematical model of covid-19 in nigeria using atangana-baleanu operator, Computers, Materials and Continua, 66, 1 Moyles, 2020, Cost and social distancing dynamics in a mathematical model of covid-19 with application to ontario, canada, medRxiv, 15, 1 Krivorot'ko, 2020, Mathematical modelling and forecasting of covid-19 in moscow and novosibirsk region, Numer Anal Appl, 13, 332, 10.1134/S1995423920040047 Harjule, 2021, Mathematical models to predict covid-19 outbreak: an interim review, J Interdiscip Math, 15, 1 Kim, 2020, Mathematical model of covid-19 transmission dynamics in south korea: the impacts of travel restrictions, social distancing, and early detection, Processes, 8, 1, 10.3390/pr8101304 Diaz, 2021, Analysis of a nonstandardnonstandard computer method to simulate a nonlinear stochastic epidemiological model of coronavirus-like diseases, Comput Methods Programs Biomed, 204, 1 Raza, 2021, An analysis of a nonlinear susceptible-exposed-infected-quarantine-recovered pandemic model of a novel coronavirus with delay effect, Results in Physics, 21, 01, 10.1016/j.rinp.2020.103771 Zamir, 2021, Threshold conditions for global stability of disease free, Results in Physics, 21, 10.1016/j.rinp.2020.103784 Gupta, 2021, An emotion care model using multimodal textual analysis on COVID-19, Chaos, Solitons Fractals, 144, 10.1016/j.chaos.2021.110708 Saha, 2021, GraphCovidNet: a graph neural network based model for detecting COVID-19 from CT scans and X-rays of chest, Sci Rep, 11, 1 Ahmad, 2020, Fuzzy fractional-order model of the novel coronavirus, Adv Difference Equat, 2020, 1 Ahmad, 2021, Numerical simulation and stability analysis of a novel reaction-diffusion covid-19 model, Nonlinear Dyn, 23, 01 Ghorui, 2021, Identification of dominant risk factor involved in spread of COVID-19 using hesitant fuzzy mcdm methodology, Results in physics, 21, 10.1016/j.rinp.2020.103811 Shariq, 2021, A secure and reliable rfid authentication protocol using digital schnorr cryptosystem for iot-enabled healthcare in COVID-19 scenario, Sustainable Cities and Society, 75, 10.1016/j.scs.2021.103354 Mateescu, 2006, On the application of genetic algorithms to differential equations, Romanian J Economic Forecasting, 2, 5 Lee, 2006, Method of bilaterally bounded to solution blasius equation using particle swarm optimization, Appl Math Comput, 179, 779 Babaei, 2013, A general approach to approximate solutions of nonlinear differential equations using particle swarm optimization, Appl Soft Comput, 13, 3354, 10.1016/j.asoc.2013.02.005 Karr, 2003, A self-tuning evolutionary algorithm applied to an inverse partial differential equation, Appl Intelligence, 19, 147, 10.1023/A:1026097605403 Cao, 2000, Evolutionary modelling of systems of ordinary differential equations with genetic programming, Genetic Programming and Evolvable Machines, 1, 309, 10.1023/A:1010013106294 Mastorakis, 2006, Unstable ordinary differential equations: solution via genetic algorithms and the method of nelder-mead, WSEAS Trans Math, 5, 1276 Pageant, 2014, Solving partial differential equations using a new differential evolution algorithm, Math Probl Eng, 2014, 10 Ali, 2018, Numerical treatment of nonlinear model of virus propagation in computer networks: an innovative evolutionary padé approximation scheme, Adv Difference Equations, 2018, 10.1186/s13662-018-1672-1 Nisar, 2021, Hybrid evolutionary padé approximation approach for numerical treatment of nonlinear partial differential equations, Alexandria Engineering J, 60, 4411, 10.1016/j.aej.2021.03.030 Baker, 1975 Baker G.A., Morris P.G., Padé approximants, Addison-Wesley, 1981. Padѐ, 1892, Sur la representation approchѐe d'une fonction par des fractions rationnelles, Annales Scientifiques De l'École Normale Supérieure, 9, 1 Leal, 2013, Application of series method with padé and laplace-padé re-summation methods to solve a model for the evolution of smoking habit in spain, Computat Appl Mathem, 33, 1 Rashidi, 2010, Using differential transform method and padé approximant for solving mhd flow in a laminar liquid film from a horizontal stretching surface, Math Probl Eng, 2010, 10.1155/2010/491319 Guerrero, 2013, Solving a model for the evolution of smoking habit in spain with homotopy analysis method, Nonlinear Analysis: Real-World Application, 14, 549, 10.1016/j.nonrwa.2012.07.015 Wang, 2011, Adomian decomposition and padé approximate for solving differential-difference equation, Appl Math Comput, 218, 1371 Yang, 2008 Rao, 2011, Teaching–learning-based optimization: a novel method for constrained mechanical design optimization problems, Comput-Aided Des, 43, 303, 10.1016/j.cad.2010.12.015 Kennedy, 1995, Particle swarm optimization, 1942 Storn, 1997, Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces, J Global Optim, 11, 341, 10.1023/A:1008202821328 Goldberg, 1989 Luqman, 2019, Targeted showering optimization: training irrigation tools to solve crop planning problems, Pak J Agricult Sci, 56, 225 Ali, 2019, Controlled showering optimization algorithm: an intelligent tool for decision making in global optimization, Comput Math Organ Theory, 25, 132, 10.1007/s10588-019-09293-6 Eskandar, 2012, Water cycle algorithm – a novel metaheuristic optimization method for solving constrained engineering optimization problems, Comput Struct, 110–111, 151, 10.1016/j.compstruc.2012.07.010 Alatas, 2017, Sports inspired computational intelligence algorithms for global optimization, Artif Intell Rev Karaboga, 2007, A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm, J Global Optim, 39, 459, 10.1007/s10898-007-9149-x Mirjalili, 2014, Grey wolf optimizer, Adv Eng Software, 69, 46, 10.1016/j.advengsoft.2013.12.007 Alexandros, 2017, Nature-inspired optimization algorithms related to physical phenomena and laws of science: a survey, Intern J Artif Intell Tools, 26, 10.1142/S0218213017500221 Wolpert, 1997, No free lunch theorems for optimization, IEEE Trans Evol Comput, 1, 67, 10.1109/4235.585893 2005, 479 Ali, 2017, Low cost-efficient remedial strategy for stagnated nelder-mead simplex method, Pak J Sci, 69, 119 Nelder, 1965, A simple method for function minimization, Comput J, 7, 308, 10.1093/comjnl/7.4.308 Mickens, 2005, A fundamental principle for constructing nonstandardnonstandard finite difference schemes for differential equations, J Differ Equations Appl, 11, 645, 10.1080/10236190412331334527