Homotopy analysis method for solving biological population model
In this paper, the homotopy analysis method (HAM) is applied to solve generalized
biological population models. The fractional derivatives are described by Caputo's sense …
biological population models. The fractional derivatives are described by Caputo's sense …
[PDF][PDF] Homotopy perturbation method to fractional biological population equation
Y Liu, Z Li, Y Zhang - Fractional Differential Calculus, 2011 - files.ele-math.com
In this paper, the Homotopy perturbation method is successfully extended to solve fractional
biological population model and numerical results are obtained. The fractional derivatives …
biological population model and numerical results are obtained. The fractional derivatives …
Analytical approximations for a population growth model with fractional order
H Xu - Communications in Nonlinear Science and Numerical …, 2009 - Elsevier
In this paper, we apply the homotopy analysis method (HAM) to solve the fractional
Volterra's model for population growth of a species in a closed system. This technique is …
Volterra's model for population growth of a species in a closed system. This technique is …
Application of homotopy-perturbation method to nonlinear population dynamics models
In this Letter, the homotopy-perturbation method (HPM) is employed to derive approximate
series solutions of nonlinear population dynamics models. The nonlinear models …
series solutions of nonlinear population dynamics models. The nonlinear models …
[PDF][PDF] An application of the homotopy analysis method to the transient behavior of a biochemical reaction model
In this paper, the homotopy analysis method (HAM) is applied to solve fractional transient
phase of the Michaelis-Menten reaction. The analytical solution, which is given in the form of …
phase of the Michaelis-Menten reaction. The analytical solution, which is given in the form of …
Mathematical study of fractional-order biological population model using optimal homotopy asymptotic method
In this paper, we study the fractional-order biological population models (FBPMs) with
Malthusian, Verhulst, and porous media laws. The fractional derivative is defined in Caputo …
Malthusian, Verhulst, and porous media laws. The fractional derivative is defined in Caputo …
[HTML][HTML] He's homotopy perturbation method for continuous population models for single and interacting species
S Pamuk, N Pamuk - Computers & Mathematics with Applications, 2010 - Elsevier
He's homotopy perturbation method is applied for obtaining approximate analytical solutions
of continuous population models for single and interacting species. In comparison with …
of continuous population models for single and interacting species. In comparison with …
[HTML][HTML] Solution of the fractional epidemic model by homotopy analysis method
In this article, we investigate the accuracy of the homotopy analysis method (HAM) for
solving the fractional order problem of the spread of a non-fatal disease in a population. The …
solving the fractional order problem of the spread of a non-fatal disease in a population. The …
A fractional predator-prey model and its solution
A Fractional Predator-Prey Model and its Solution Page 1 ©Freund Publishing House Ltd.
International Journal of Nonlinear Sciences and Numerical Simulation, 10(7), 873-876,2009 A …
International Journal of Nonlinear Sciences and Numerical Simulation, 10(7), 873-876,2009 A …
[HTML][HTML] Application of the homotopy analysis method for solving a model for HIV infection of CD4+ T-cells
M Ghoreishi, AIBM Ismail, AK Alomari - Mathematical and Computer …, 2011 - Elsevier
In this paper, the homotopy analysis method (HAM) is investigated to give an approximate
solution of a model for HIV infection of CD4+ T-cells. This method allows for the solution of …
solution of a model for HIV infection of CD4+ T-cells. This method allows for the solution of …