Existence and global attractivity of positive periodic solutions for the neutral multidelay logarithmic population model with impulse. (English) Zbl 1335.92082
Summary: Suffiicient and realistic conditions are established in this paper for the existence and global attractivity of a positive periodic solution to the neutral multidelay logarithmic population model with impulse by using the theory of abstract continuous theorem of \(k\)-set contractive operator and some inequality techniques. The results improve and generalize the known ones in [Y. Li, J. Syst. Sci. Math. Sci. 19, No. 1, 34–38 (1999; Zbl 0953.92025); S. Lu and W. Ge, J. Comput. Appl. Math. 166, No. 2, 371–383 (2004; Zbl 1061.34053); the first and third authors, Appl. Math. Comput. 216, No. 4, 1310–1315 (2010; Zbl 1303.92101)], and [Q. Wang et al., Appl. Math. Comput. 213, No. 1, 137–147 (2009; Zbl 1177.34093)]. As an application, we also give an example to illustrate the feasibility of our main results.
MSC:
| 92D25 | Population dynamics (general) |
| 34D23 | Global stability of solutions to ordinary differential equations |
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