Homotopy perturbation method for biological species living together

Biazar, Jafar; Ayati, Zeinab; Partovi, M.

doi:10.14419/ijamr.v2i1.451

Cited by 2 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In general, the VIDE equation realized over interval [a,b] can be transfer into the interval [−1,1]. HOBM has been applied to get more integral and integro-differential equations (Bhattacharya and Mandal 2008, Ordokhani and Far 2011, Maleknejad, Basirat et al 2012, Basirat and Shahdadi 2013, Biazar, Ayati et al 2013, Sahu and Saha Ray 2015. The existence strategies decrease the integro-differential equations modules to an arrangement about necessitarian equations and then this arrangement is numerically disbanded.…”

Section: Introductionmentioning

confidence: 99%

Hybrid Orthonormal Bernstein and Block-Pulse Method for the Solution of New System of Volterra Integro-differential Equations

Alenezi¹

2020

JMR

View full text Add to dashboard Cite

In this article, Hybrid of Bernstein and Block-Pulse techniques (HOBM) is approaching to disband arrangement of non-linear integro-differential equations which emerge in biological model. The HOBM constringe the model of our problem into composed arrangement of non-linear necessitarian equations and this consequent variety respecting necessitarian arrangement are settled by Newton’s numerical technique. Likewise, the arrangements obtained by present methodologies have been contrasted and that respecting by some current procedures accessible in writing. Some interpretative models have been discussed to show the applicability and accuracy respecting the present strategies.

show abstract

Section: Introductionmentioning

confidence: 99%

Hybrid Orthonormal Bernstein and Block-Pulse Method for the Solution of New System of Volterra Integro-differential Equations

Alenezi¹

2020

JMR

View full text Add to dashboard Cite

show abstract

Population dynamics between a prey and a predator using spectral collocation method

Thirumalai

Yüzbaşı

2019

Int. J. Biomath.

View full text Add to dashboard Cite

The struggle for the existence of the biological species is a well-known Prey–Predator model study in the literature. In this study, we present an improved model of Jerri [J. Abdul, Introduction to Integral Equations with Applications, Vol. 10 (Wiley, New York, 1999)] by introducing the intra-species competition term between the same species in addition to the existing environmental changes and few other factors in the model. The demand from the existing (limited) resources and other requirements induces competition between the same species which may alter the survival tactics among themselves. This intra-species term provides strength to the model as it makes the model more realistic. The governing equations are a system of two nonlinear delay integro differential equations, which are solved using spectral collocation method. The role of intra-species coefficients denoting the logistic growth/decay of the two species and two other parameters affecting the population dynamics are analyzed with the three basis functions such as Chebyshev, Legendre and Jacobi polynomials. With the help of simple matrix analysis, the governing equations are converted into a system of nonlinear algebraic equations. Detailed error estimation is computed to compare our results with the existing methods. It is shown with the help of tables and figures that the present method is very efficient, has better accuracy and has least computational cost.

show abstract

Homotopy perturbation method for biological species living together

Cited by 2 publications

References 14 publications

Hybrid Orthonormal Bernstein and Block-Pulse Method for the Solution of New System of Volterra Integro-differential Equations

Hybrid Orthonormal Bernstein and Block-Pulse Method for the Solution of New System of Volterra Integro-differential Equations

Population dynamics between a prey and a predator using spectral collocation method

Contact Info

Product

Resources

About