Positive Periodic Solutions of Predator-Prey Systems with Infinite Delay

Chinese Annals of Mathematics. Series B

Volumn 21, Issue 1, 1980, Pages 43-54

  Wang, Ke ^a   Fan, Meng ^a  

^a NORTHEAST NORMAL UNIVERSITY   (China)

Author keywords

Infinite delay; Positive periodic solutions; Predator prey system

Indexed keywords

EID: 0034405415     PISSN: 02529599     EISSN: 18606261     Source Type: Journal    
DOI: 10.1007/BF02731957     Document Type: Article

References (11)

1. Murray, J. D., Mathematical biology, Spring-Verlag, Berlin, Heidelberg, New York, 1989.
2. Chen Lansun & Chen Jian, Nonlinear dynamical systems in biology, Science Press, Beijing, China, 1993.
3. Levin, S., Lecture notes in biomathematics, Spring-Verlag, Berlin, Heidelberg, New York, 1977.
4. Burton, T. A. & Hutson, V., Permanence for non-autonomous predator-prey systems, Differential and Integral Equations, 4:6(1991), 1269–1280.
5. Anthony Leung, Periodic solutions for a Prey-Predator differential delay equation, Journal of Diff. Eqs., 26:(1977), 391–403.
6. Cushing, J. M., Forced asymptotically periodic solutions of predator-prey systems with or without Hereditary effects, SIAM J. Appl. Math., 30:4(1976), 665–673.
7. Lo Shengdai, Nonconstant periodic solutions in predator-prey systems with continuous time delay, Elsier North Holland, Inc., (1981), 149-157.
8. Burton, T. A. & Hutson, V., Repeliers in systems with infinite delay, J. Math. Anal. Appl., 137(1989), 240–263.
9. Wang, K., Persistence for non autonomous predator-prey systems with infinite delay, Acta Mathematical Sinica, 40:3(1997), 322–332.
10. Horn, W. A., Some fixed point theorems for compact maps and flows in Banach spaces, Trans. A. M. S., 149(1970), 391–404.
11. Burton, T. A., Volterra integral and differential equations, Academic Peses, New York, 1983.