Analysis of a fractional epidemic model by fractional generalised homotopy analysis method using modified Riemann - Liouville derivative

2021 ◽  
Vol 92 ◽  
pp. 525-545
Author(s):  
S.R. Saratha ◽  
G. Sai Sundara Krishnan ◽  
M. Bagyalakshmi
Keyword(s):  
Homotopy Analysis Method ◽  
Epidemic Model ◽  
Analysis Method ◽  
Liouville Derivative ◽  
Homotopy Analysis

scholarly journals On the Homotopy analysis method of MSEIR epidemic model

2014 ◽  
Vol 6 (3) ◽  
pp. 55-61
Author(s):  
M.O. Ibrahim ◽  
◽  
I.I. Raji ◽  
A. Aladesuyi ◽  
A. Nwagwo
Keyword(s):  
Homotopy Analysis Method ◽  
Epidemic Model ◽  
Analysis Method ◽  
Homotopy Analysis

Solution of the SEIR model of epidemics using HAM

2014 ◽  
Vol 11 (3) ◽  
pp. 297-310
Author(s):  
Nirmala Ratchagar ◽  
S. Subramanian
Keyword(s):  
Differential Equations ◽  
Homotopy Analysis Method ◽  
Epidemic Model ◽  
Perturbation Methods ◽  
Analysis Method ◽  
Childhood Diseases ◽  
Seir Model ◽  
Non Linear ◽  
Homotopy Analysis ◽  
Direct Scheme

In this paper, a new semi analytic technique namely the Homotopy Analysis Method (HAM) is applied for SEIR Epidemic model. HAM is different from already existing perturbation methods, and is most suitable for strongly non linear simultaneous differential equations arising in this model. The advantage of this method is that it provides a direct scheme for solving the problem, i.e. without the need for linearization, perturbation, massive computation and any transformation. MATHEMATICA 8.0 is used to carry out computations. Results were discussed graphically, for four childhood diseases.

scholarly journals Application of Homotopy Analysis Method for Solving an SEIRS Epidemic Model

2019 ◽  
Vol 4 (3) ◽  
pp. 36
Author(s):  
Inyama Simeon Chioma ◽  
Ekeamadi Godsgift Ugonna ◽  
Uwagboe Osazee Michael ◽  
Omame Andrew ◽  
Mbachu Hope Ifeyinwa ◽  
...  
Keyword(s):  
Homotopy Analysis Method ◽  
Epidemic Model ◽  
Analysis Method ◽  
Seirs Epidemic Model ◽  
Homotopy Analysis

scholarly journals Numerical Solution of an Interval-Based Uncertain SIR (Susceptible–Infected–Recovered) Epidemic Model by Homotopy Analysis Method

Axioms ◽  
2021 ◽  
Vol 10 (2) ◽  
pp. 114
Author(s):  
Emmanuel A. Bakare ◽  
Snehashish Chakraverty ◽  
Radovan Potucek
Keyword(s):  
Numerical Solution ◽  
Homotopy Analysis Method ◽  
Epidemic Model ◽  
Analysis Method ◽  
Sir Epidemic Model ◽  
Deterministic Models ◽  
Interval Model ◽  
Sir Epidemic ◽  
Homotopy Analysis ◽  
Good Agreement

This work proposes an interval-based uncertain Susceptible–Infected–Recovered (SIR) epidemic model. The interval model has been numerically solved by the homotopy analysis method (HAM). The SIR epidemic model is proposed and solved under different uncertain intervals by the HAM to obtain the numerical solution of the model. Furthermore, the SIR ODE model was transformed into a stochastic differential equation (SDE) model and the results of the stochastic and deterministic models were compared using numerical simulations. The results obtained were compared with the numerical solution and found to be in good agreement. Finally, various simulations were done to discuss the solution.

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