Almost Periodic Solutions for Lasota-Wazewska Model with Multiple Delays
نویسندگان
چکیده
By means of Mawhin’s continuation theorem of coincidence degree theory, some new and simple sufficient conditions are obtained for the existence of at least one positive almost periodic solution for a class of delayed Lasota-Wazewska model with nonnegative coefficients. Further, by some important inequalities and Lyapunov functional, the permanence and global asymptotical stability of the model have been studied. The main result of this paper improves some conditions of the result in [Z.D. Huang, S.H. Gong, L.J. Wang, Positive almost periodic solution for a class of Lasota-Wazewska model with multiple timing-varing delays, Comput. Math. Appl. 61 (2011) 755-760]. Two examples and numerical simulations are employed to illustrate the main result in this paper.
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