Nonlinear Analysis of Cholera Epidemics
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Summary
Approximate analytical solutions for the non-linear equations in cholera epidemics are obtained by using the Homotopy analysis method (HAM), and the numerical simulation of the problem is reported using Matlab program to investigate the dynamics of the system.
- Type
- article
- Published
- 2014-01-01
- Cited by
- 1
- References
- 18
- OpenAlex
- https://openalex.org/W83046236
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:115615511
Keywords
Cholera, Nonlinear system, MATLAB, Applied mathematics, Homotopy analysis method
References
- Homotopy Analysis Method in Nonlinear Differential Equations
- Beyond Perturbation: Introduction to the Homotopy Analysis Method
- A General Approach to Obtain Series Solutions of Nonlinear Differential Equations
- Homotopy analysis method to determine the fin efficiency of convective straight fins with temperature-dependent thermal conductivity
- Subharmonic bifurcation in an S-I-R epidemic model
- A Method for the Spatial Discretization of Parabolic Equations in One Space Variable
- Algal blooms in the spread and persistence of cholera.
- Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in pours media prescribed surface heat flux
- Endemic and epidemic dynamics of cholera: the role of the aquatic reservoir
- The effect of vaccinations in an immigrant model
- Population dynamics of infectious diseases : A discrete time model
- Epidemiology, Genetics, and Ecology of ToxigenicVibrio cholerae
- An optimal homotopy-analysis approach for strongly nonlinear differential equations
- On spatially explicit models of cholera epidemics
- Seasonality of cholera from 1974 to 2005: a review of global patterns
- The Mathematics of Infectious Diseases
- Homotopy analysis method applied to electrohydrodynamic flow
- Probable role of blue-green algae in maintaining endemicity and seasonality of cholera in Bangladesh: a hypothesis.
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