Periodic solutions of a periodic delay predator-prey system
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- by Li Yongkun
- Proc. Amer. Math. Soc. 127 (1999), 1331-1335
- DOI: https://doi.org/10.1090/S0002-9939-99-05210-7
- Published electronically: January 28, 1999
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Abstract:
The existence of a positive periodic solution for \begin{equation*} \begin {cases} \frac {\mathrm {d}H(t)}{\mathrm {d}t}=r(t)H(t) \left [1-\frac {H(t-\tau (t))}{K(t)}\right ] -\alpha (t)H(t) P(t),\ \frac {\mathrm {d}P(t)}{\mathrm {d}t}=-b(t)P(t)+\beta (t)P(t)H(t-\sigma (t)) \end{cases} \end{equation*} is established, where $r$, $K$, $\alpha$, $b$, $\beta$ are positive periodic continuous functions with period $\omega >0$, and $\tau$, $\sigma$ are periodic continuous functions with period $\omega$.References
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Bibliographic Information
- Li Yongkun
- Affiliation: Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, People’s Republic of China
- Email: yklie@ynu.edu.cn
- Received by editor(s): March 5, 1997
- Published electronically: January 28, 1999
- Additional Notes: The author was partially supported by the ABF of Yunnan Province of China
- Communicated by: Suncica Canic
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 1331-1335
- MSC (1991): Primary 34K15, 34K20, 92A15
- DOI: https://doi.org/10.1090/S0002-9939-99-05210-7
- MathSciNet review: 1646198