TY - JOUR
T1 - Numerical simulation for solution of SEIR models by meshless and finite difference methods
AU - Asif, Muhammad
AU - Ali Khan, Zar
AU - Haider, Nadeem
AU - Al-Mdallal, Qasem
N1 - Funding Information:
We are thankful to the reviewers for their careful reading and suggestions. In addition, authors also would like to acknowledge and express their gratitude to the United Arab Emirates University, Al Ain, UAE for providing the financial support with Grant No. 31S363-UPAR (4) 2018.
Publisher Copyright:
© 2020 Elsevier Ltd
PY - 2020/12
Y1 - 2020/12
N2 - The transmission of influenza has been explained by analyzing a diffusive epidemic model. The Operating splitting based on finite difference (OSBFD), explicit formula based on meshless method (EFBMM), Operator splitting based on meshless method (OSBMM) are applied to obtain numerical solutions of equations under varied initial distribution of dense population. The specific role of diffusion and distribution has been accentuated in spread of ailment. It is also presented that how the transmission of disease is specifically reduced by the medicative and non-medicative innovations. The numerical solutions involved in stability of all the equilibria are also stated.
AB - The transmission of influenza has been explained by analyzing a diffusive epidemic model. The Operating splitting based on finite difference (OSBFD), explicit formula based on meshless method (EFBMM), Operator splitting based on meshless method (OSBMM) are applied to obtain numerical solutions of equations under varied initial distribution of dense population. The specific role of diffusion and distribution has been accentuated in spread of ailment. It is also presented that how the transmission of disease is specifically reduced by the medicative and non-medicative innovations. The numerical solutions involved in stability of all the equilibria are also stated.
KW - Finite difference method
KW - Meshless method
KW - SEIR models with and without diffusion
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U2 - 10.1016/j.chaos.2020.110340
DO - 10.1016/j.chaos.2020.110340
M3 - Article
AN - SCOPUS:85092718667
SN - 0960-0779
VL - 141
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 110340
ER -