Abstract
Conditions for existence of positive periodic solutions of nonautonomous, nonconvoluton type predator-prey system with infinite delay are given.
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Murray, J. D., Mathematical biology, Spring-Verlag, Berlin, Heidelberg, New York, 1989.
Chen Lansun & Chen Jian, Nonlinear dynamical systems in biology, Science Press, Beijing, China, 1993.
Levin, S., Lecture notes in biomathematics, Spring-Verlag, Berlin, Heidelberg, New York, 1977.
Burton, T. A. & Hutson, V., Permanence for non-autonomous predator-prey systems, Differential and Integral Equations, 4:6(1991), 1269–1280.
Anthony Leung, Periodic solutions for a Prey-Predator differential delay equation, Journal of Diff. Eqs., 26:(1977), 391–403.
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.
Lo Shengdai, Nonconstant periodic solutions in predator-prey systems with continuous time delay, Elsier North Holland, Inc., (1981), 149-157.
Burton, T. A. & Hutson, V., Repeliers in systems with infinite delay, J. Math. Anal. Appl., 137(1989), 240–263.
Wang, K., Persistence for non autonomous predator-prey systems with infinite delay, Acta Mathematical Sinica, 40:3(1997), 322–332.
Horn, W. A., Some fixed point theorems for compact maps and flows in Banach spaces, Trans. A. M. S., 149(1970), 391–404.
Burton, T. A., Volterra integral and differential equations, Academic Peses, New York, 1983.
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Project supported by the National Natural Science Foundation of China and the Liaoning Provincial Natural Science Foundation of China.
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Wang, K., Fan, M. Positive Periodic Solutions of Predator-Prey Systems with Infinite Delay. Chin. Ann. of Math. 21, 43–54 (2000). https://doi.org/10.1007/BF02731957
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DOI: https://doi.org/10.1007/BF02731957