Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse | Zendy

Zhenguo Luo | Zendy; Liping Luo | Zendy

Open Access

Existence and Stability of Positive Periodic Solutions for a Neutral Multispecies Logarithmic Population Model with Feedback Control and Impulse

Author(s) -

Zhenguo Luo,

Liping Luo

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/741043

Subject(s) - impulse control , mathematics , uniqueness , logarithm , impulse (physics) , feedback control , population model , exponential stability , population , contraction mapping , stability (learning theory) , control theory (sociology) , mathematical analysis , control (management) , nonlinear system , fixed point , computer science , psychology , physics , demography , quantum mechanics , control engineering , sociology , artificial intelligence , engineering , psychotherapist , machine learning

We investigate a neutral multispecies logarithmic population model with feedback control and impulse. By applying the contraction mapping principle and some inequality techniques, a set of easily applicable criteria for the existence, uniqueness, and global attractivity of positive periodic solution are established. The conditions we obtained are weaker than the previously known ones and can be easily reduced to several special cases. We also give an example to illustrate the applicability of our results

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