Multiple positive periodic solutions for a generalized predator-prey system with exploited terms

Nonlinear Analysis: Real World Applications

Volumn 9, Issue 1, 2008, Pages 26-39

  Zhang, Zhengqiu ^a   Tian, Tesheng ^b  

^a HUNAN UNIVERSITY   (China)

^b University of Technology   (China)

Author keywords

A generalized prey predator system; Eight positive periodic solutions; Exploited terms; The continuation theorem of coincidence degree theory

Indexed keywords

NONLINEAR SYSTEMS; PROBLEM SOLVING; THEOREM PROVING;

EIGHT POSITIVE PERIODIC SOLUTIONS; EXPLOITED TERMS; GENERALIZED PREY-PREDATOR SYSTEMS;

TIME VARYING SYSTEMS;

EID: 35248843672     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nonrwa.2006.08.009     Document Type: Article

References (5)

1. Gaines R.E., and Mawhin J.L. Coincidence Degree and Nonlinear Differential Equations (1977), Springer, Berlin
2. Ma Z.E. Mathematical Modeling and Studying on Species Ecology (1996), Education Press, Hefei (in Chinese)
3. D. Mukherjee et al., Uniform persistence and global attractivity theorem for generalized prey-predator system with time delay, Nonlinear Anal. 38 (1999) 59-74.
4. Tian D.S., and Zeng X.W. Existence of at least two periodic solutions of a ratio-dependent predator-prey model with exploited term. Acta Math. Appl. Sin. English Series 21 3 (2005) 489-494
5. Zhang Z.Q., and Wang H.L. Existence and global attractivity of a positive periodic solution for a generalized prey-predator system with time delay. Math. Comput. Modeling 44 (2006) 188-203