Subscribe

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

BSMaSS > Volume 1 > A Two Species Amensalism Model with Harvesting by...
A Two Species Amensalism Model with Harvesting by Homotopy Analysis Method
< Back to Volume

A Two Species Amensalism Model with Harvesting by Homotopy Analysis Method

Full Text PDF

Abstract:

In this paper a two species Amensalism model is taken up for analytical study. The model comprises an Amensal, which is harvested at a rate proportional to their population and an enemy. Moreover both the species are provided with limited resources. The series solution of the non-linear system was approximated by the Homotopy analysis method (HAM) and the results are supported by numerical simulations.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 1)
Pages:
33-39
DOI:
https://doi.org/10.18052/www.scipress.com/BSMaSS.1.33
Citation:
B. S. Rambabu et al., "A Two Species Amensalism Model with Harvesting by Homotopy Analysis Method", The Bulletin of Society for Mathematical Services and Standards, Vol. 1, pp. 33-39, 2012
Online since:
March 2012
Authors:
B. Sita Rambabu, K. Lakshmi Narayan, Sahanaz Bathul
Keywords:
Amensalism, Embedded Parameter, HAM, Linear Operator, Series Solution, Zero Order Deformation
Export:
RIS, BibTeX, Text
Distribution:
Open Access

Creative Commons License
This work is licensed under a
Creative Commons Attribution 4.0 International License

References:

[1] Acharyulu K.V.L.N. & Pattabhi Ramacharyulu. N. Ch. An Amensal-Enemy specie pair with limited and unlimited resources respectively-A numerical approach, Int.J. Open problems Compt. Math (IJOPCM), Vol. 3. No. 1. pp.73-91., March2010.

[2] Acharyulu K.V.L.N. & Pattabhi Ramacharyulu. N. Ch. On The stability of An Amensal-Harvested Enemy Species pair with limited resources, International journal of computational Intelligence Research (IJCIR), Vol. 6, No. 3; pp.343-358, June (2010).

[3] Acharyulu K.V.L.N. & Pattabhi Ramacharyulu. N. Ch; On the stability of an enemy –Amensal species pair with limited resources, International Journal of Applied Mathematical Analysis and Applications. vol 4, No 2, pp.149-161, July2009.

[4] Acharyulu K.V.L.N. & Pattabhi Ramacharyulu. N. Ch. ; On An Amensal-Enemy Ecological Model With Variable Amensal Coefficient" is accepted for publication in "International Journal of Computational cognition(IJCC)", Yang, s Scientific Research Institute, USA(in press).

[5] Shiva Prakash & T. Karunanithi; Modeling of interaction between Schizosaccharomyces pombe and Saccharomyces cerevisiae to predict stable operating conditions in a chemo stat (IJCRGG), International Journal of Chem. Tech Research Coden (USA).

[6] S.J. Liao, The proposed homotopy analysis technique for the solution of nonlinear problems, PhD thesis, Shanghai Jiao Tong University1992.

[7] S.J. Liao Beyond perturbation: introduction to the homotopy analysis method. CRC Press, Boca Raton: Chapman & Hall (2003).

[8] S.J. Liao. On the homotopy analysis method for nonlinear problems. Appl. Math. Compat., 147(2004), 499-513.

[9] S.J. Liao. Comparison between the homotopy analysis method and homotopy perturbation method. Appl Math Comput., 169(2005), 1186-1194.

DOI: https://doi.org/10.1016/j.amc.2004.10.058

[10] S.J. Liao A new branch of solutions of boundary-layer flows over an impermeable stretched plate. Int J Heat Mass Transfer.,. 48(2005), 2529-2539.

DOI: https://doi.org/10.1016/j.ijheatmasstransfer.2005.01.005

[11] M. Ayub, A. Rasheed, T. Hayat. Exact flow of a third grade fluid past a porous plate using homotopy analysis method. Int J Eng Sci. 41(2003), 2091-2103.

DOI: https://doi.org/10.1016/s0020-7225(03)00207-6

[12] T. Hayat, M. Khan. Homotopy solutions for a generalized second-grade fluid past a porous plate. Nonlinear Dyn., 42: (2005), 395-405.

DOI: https://doi.org/10.1007/s11071-005-7346-z

[13] Fadi Awawdeh, H.M. Jaradat , O. Alsayyed, Solving system of DAEs by homotopy analysis method, Chaos, Solutions and Fractals 42 (2009) 1422–1427, Elsevier.

DOI: https://doi.org/10.1016/j.chaos.2009.03.057

[14] H. Jafari, M. Zabihi and M. Saidy. Application of Homotopy perturbation method for solving Gas Dynamic Equation. Appl. Math. sci., 2L2008), 2393-2396.

[15] J.H. He. Homotopy perturbation method for solving boundary value problems. Phys Lett A. 350 (12)(2006), 87-88.

[16] J.H. He, Comparison of homotopy perturbation method and homotopy analysis method, Appl. Math. Method, 42(2004) 759-766.

[17] SJ. Liao, Comparision between the homotopy analysis method and homotopy perturbation method, Appl. Math. Comput. 169 (2005) 1186-94.

Show More Hide
Cited By:
This article has no citations.