Existence of Positive Periodic Solutions for a Time-Delay Biological Model

Articles

Existence of Positive Periodic Solutions for a Time-Delay Biological Model [ICPDE 2016]
DOI: 10.4236/jamp.2016.47137 PP.1300 - 1304
Author(s)
Binbin Wang, Hailiang Zhang
ABSTRACT
Based on the classic Lotlk-Volterra cooperation model, we establish a time-delay model of which a species cannot survive independently. By continuation theorem, we discuss existence of positive periodic solutions of the model.
KEYWORDS
Biological Model, Existence, Periodic Solution, Time Delay, Independent Survival
References
[1]
Wang, G.X., et al. (2006) Ordinary Differential Equation. Higher Education Press, Beijing. (In Chinese)
[2]
Lin, Z.S. (2006) Pop-ulation Dynamics. Science Press, Beijing. (In Chinese)
[3]
Lin, S.Q. and Lu, Z.Y. (2006) Permanence for Two-Spcies Lotka-Volterra System with Delays. Mathematical Biosciences and Engineering, 3, 137-144.
[4]
Jiang, Q.Y., Xie, J.X. and Ye, J. (2003) Mathematical Model. Higher Education Press, Beijing. (In Chinese)
[5]
Xie, X.D. and Chen, F.D. (2014) Study on the Dynamics of Cooperative Population Model. Science Press, Beijing. (In Chinese)
[6]
Chen, L.S. and Liu, S.Q. (2010) Study on Population Biology Model of Stage Structure. Science Press, Beijing. (In Chinese)
[7]
Chen, L.S. (1988) Essential Mathematical Biology. Science Press, Beijing.