Solution of the prey and predator problem by homotopy perturbation method

Applied Mathematics and Computation

Volumn 188, Issue 2, 2007, Pages 1419-1425

  Rafei, M ^a   Daniali, H ^a   Ganji, D D ^a   Pashaei, H ^a  

^a UNIVERSITY OF MAZANDARAN   (Iran)

Author keywords

Homotopy perturbation method; System of nonlinear differential equations; The prey and predator problem

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; DIFFERENTIAL EQUATIONS; DOMAIN DECOMPOSITION METHODS; PERTURBATION TECHNIQUES;

HOMOTOPY PERTURBATION METHOD; POWER SERIES METHODS; VOLTERRA DIFFERENTIAL EQUATIONS;

PROBLEM SOLVING;

EID: 34248224134     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2006.11.007     Document Type: Article

References (18)

1. Simmons G.F. Differential Equations with Applications and Historical Notes (1972), McGraw-Hill
2. Biazar J., and Montazeri R. A computational method for solution of the prey and predator problem. Applied Mathematics and Computation 163 2 (2005) 841-847
3. Biazar J., Ilie M., and Khoshkenar A. A new approach to the solution of the prey and predator problem and comparison of the results with the Adomian method. Applied Mathematics and Computation 171 1 (2005) 486-491
4. He J.H. The homotopy perturbation method for nonlinear oscillators with discontinuities. Applied Mathematics and Computation 151 1 (2004) 287-292
5. He J.H. Comparison of homotopy perturbation method and homotopy analysis method. Applied Mathematics and Computation 156 2 (2004) 527-539
6. He J.H. Asymptotology by homotopy perturbation method. Applied Mathematics and Computation 156 3 (2004) 591-596
7. He J.H. Homotopy perturbation method for bifurcation of nonlinear problems. International Journal of Non-linear Sciences and Numerical Simulation 6 2 (2005) 207-208
8. He J.H. Application of homotopy perturbation method to nonlinear wave equations. Chaos, Solitons & Fractals 26 3 (2005) 695-700
9. He J.H. Limit cycle and bifurcation of nonlinear problems. Chaos, Solitons & Fractals 26 3 (2005) 827-833
10. He J.H. Homotopy perturbation method for solving boundary value problems. Physics Letters A 350 1-2 (2006) 87-88
11. He J.H. Some asymptotic methods for strongly nonlinear equations. International Journal of Modern Physics B 20 10 (2006) 1141-1199
12. He J.H. Homotopy perturbation technique. Computer Methods in Applied Mechanics and Engineering 178 3-4 (1999) 257-262
13. Rafei M., and Ganji D.D. Explicit solutions of Helmholtz equation and fifth-order KdV equation using homotopy perturbation method. International Journal of Nonlinear Sciences and Numerical Simulation 7 3 (2006) 321-329
14. Ganji D.D., and Rafei M. Solitary wave solutions for a generalized Hirota-Satsuma coupled KdV equation by homotopy perturbation method. Physics Letters A 356 2 (2006) 131-137
15. Siddiqui A.M., Mahmood R., and Ghori Q.K. Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder. Physics Letters A 352 4-5 (2006) 404-410
16. Abbasbandy S. Homotopy perturbation method for quadratic Riccati differential equation and comparison with Adomian's decomposition method. Applied Mathematics and Computation 172 1 (2006) 485-490
17. Abbasbandy S. Iterated He's homotopy perturbation method for quadratic Riccati differential equation. Applied Mathematics and Computation 175 1 (2006) 581-589
18. Abbasbandy S. Numerical solutions of the integral equations: homotopy perturbation method and Adomian's decomposition method. Applied Mathematics and Computation 173 1 (2006) 493-500