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Bio-Inspired Computational Methods for the Polio Virus Epidemic Model

Computers, Materials & Continua 2022年第8期72卷 2357-2374页

作者： Fatimah Abdulrahman Alrawajeh F.M.Allehiany Ali Raza Shaimaa A.M.Abdelmohsen Tahir Nawaz Cheema Muhammad Rafiq Muhammad Mohsin Department of Mathematics Faculty of Science CollegeImam Abdulrahman Bin Faisal University(IAU)Dammam31441Saudi Arabia Department of Mathematical Sciences College of Applied SciencesUmm Al-Qura UniversityP.O.Box 715Makkah21955Saudi Arabia Department of Mathematics Govt.Maulana Zafar Ali Khan Graduate College Wazirabad52000Punjab Higher Education Department(PHED)Lahore54000Pakistan Department of Physics College of SciencePrincess Nourah bint Abdulrahman UniversityRiyadh 11671Saudi Arabia Department of Mathematics University of GujratGujrat50700Pakistan Department of Mathematics Faculty of SciencesUniversity of Central PunjabLahore54600Pakistan Department of Mathematics Technische Universitat Chemnitz6209111Germany

In 2021,most of the developing countries are fighting polio,and parents are concerned with the disabling of their *** transmits from person to person,which can infect the spinal cord,and paralyzes the parts of the body within a matter of *** to the World Health Organization(WHO),18 million currently healthy people could have been paralyzed by the virus during 1988–*** all countries but Pakistan,Afghanistan,and a fewmore have been declared *** mathematical modeling of poliovirus is studied in the population by categorizing it as susceptible individuals(S),exposed individuals(E),infected individuals(I),and recovered individuals(R).In this study,we study the fundamental properties such as positivity and boundedness of the *** also rigorously study the model’s stability and equilibria with or without *** numerical study,we design the Euler,Runge–Kutta,and nonstandard finite difference ***,the standard techniques are time-dependent and fail to present the results for an extended *** nonstandard finite difference method works well to study disease dynamics for a long time without any ***,the results of different methods are compared to prove their effectiveness.

关键词： Poliovirus modeling stability results computational methods

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ANALYZING MARKET COMPETITION BETWEEN AIRBUS AND BOEING USING A DUO HIERARCHICAL GRAPH MODEL FOR CONFLICT RESOLUTION

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Journal of Systems Science and Systems Engineering 2017年第6期26卷 683-710页

作者： He, Shawei Hipel, Keith W. Kilgour, D. Marc College of Economics & Management Nanjing University of Aeronautics and Astronautics Nanjing China Department of Systems Design Engineering University of Waterloo Waterloo Canada Centre for International Governance Innovation Waterloo Canada Balsillie School of International Affairs Waterloo Canada Department of Mathematics Wilfrid Laurier University Waterloo Canada

A duo hierarchical graph model for conflict resolution is developed to investigate market competition between Airbus and Boeing over aircraft sales in the Asia Pacific region. The duo hierarchical graph model, a significant extension of the graph model for conflict resolution methodology, contains two common decision makers, who take part in two related subconflicts, as well as local decision makers, who participate in only one subconflict. New stability definitions are proposed to describe forms of sanction unique to the hierarchical model. The interrelationships between stabilities in the overall graph model and in the two local models are investigated. Then the duo hierarchical graph model is applied to the competition between Airbus and Boeing in both the wide and narrow body markets in the Asia-Pacific region. The two types of Asian airlines have different operating strategies, so that the two markets constitute sub-competitions that can be modelled naturally using the duo hierarchical graph model. The stability results indicate a resolution for all decision makers that implies marketing strategies for the aircraft manufacturers and guidelines for aircraft purchase by the airlines. Thus, this model provides decision makers with a comprehensive understanding of the dynamics of the comoetition and guidance in identifving beneficial actions.

关键词： Hierarchical Graph Model Airbus and Boeing stability results strategic resolutions

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