Periodic solutions for predator-prey systems with Beddington-DeAngelis functional response on time scales

Nonlinear Analysis: Real World Applications

Volumn 9, Issue 3, 2008, Pages 1224-1235

  Fazly, Mostafa ^a   Hesaaraki, Mahmoud ^a  

^a SHARIF UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Coincidence degree; Dynamical system on time scales; Nonautonomous predator prey system; Periodic solution

Indexed keywords

DYNAMICAL SYSTEMS; NONLINEAR PROGRAMMING; NUMERICAL METHODS; PROBLEM SOLVING; TIME DOMAIN ANALYSIS;

COINCIDENCE DEGREE; DYNAMICAL SYSTEM ON TIME SCALES; NONAUTONOMOUS PREDATOR PREY SYSTEMS; PERIODIC SOLUTIONS; PREDATOR PREY SYSTEMS;

NONLINEAR SYSTEMS;

EID: 38949204083     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2007.02.012     Document Type: Article

References (14)

1. Agarwal R., Bohner M., and Peterson A. Inequalities on time scales: a survey. Math. Ineq. Appl. 4 4 (2001) 535-557
2. Aulbach B., and Hilger S. Linear Dynamical Processes with Inhomogeneous Time Scale, Nonlinear Dynamics and Quantum Dynamical Systems (1990), Akademie Verlage, Berlin
3. Beddington J.R. Mutual interference between parasites or predators and its effect on searching efficiency. J. Animal Ecol. 44 (1975) 331-340
4. Bohner M., Fan M., and Zhang J. Existence of periodic solutions in predator-prey and competition dynamic systems. Nonlinear Anal.: Real World Appl. 7 (2006) 1193-1204
5. Bohner M., and Peterson A. Dynamic Equations on Time Scales: An Introduction with Applications (2001), Birkhäuser, New York
6. Bohner M., and Peterson A. Advances in Dynamic Equations on Time Scales (2003), Birkhäuser, Boston
7. DeAngelis D.L., Goldstein R.A., and O'Neill R.V. A model for trophic interaction. Ecology 56 (1975) 881-892
8. Fan M., and Kuang Y. Dynamics of a nonautonomous predator-prey system with the Beddington-DeAngelies functional response. J. Math. Anal. Appl. 295 (2004) 15-39
9. Gaines R.E., and Mawhin J.L. Coincidence Degree and Non-linear Differential Equations (1977), Springer, Berlin MR 58:30551
10. Hilger S. Analysis on measure chains-a unified approach to continuous and discrete calculus. Results Math. 18 (1990) 18-56
11. Lakshmikantham V., Sivasundaram S., and Kaymakcalan B. Dynamic Systems on Measure Chains (1996), Kluwer Academic Publishers, Dordrecht
12. Skalski G.T., and Gilliam J.F. Functional responses with predator interference: viable alternatives to the Holling type II Model. Ecology 82 11 (2001) 3083-3092
13. Wang F.H., Yeh C.C., Yu S.L., and Hong C.H. Youngs inequality and related results on time scales. Appl. Math. Lett. 18 (2005) 983-988
14. Zhang J., and Wang J. Periodic solutions for discrete predator-prey systems with the Beddington-DeAngelis functional response. Appl. Math. Lett. 19 (2006) 1361-1366