Abstract
In this paper, by using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of easily applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses. The results improve and generalize the known ones in [1], as an application, we also give an example to illustrate the feasibility of our main results.
Highlights
There are more works on the periodic solution of neutral type Logistic models or Lotka-Volterra models
By using the contraction mapping principle and constructing a suitable Lyapunov functional, we established a set of applicable criteria for the existence, uniqueness and global attractivity of positive periodic solution and positive almost periodic solution of a neutral multi-species Logarithmic population model with multiple delays and impulses
In [8], Li had studied the following single species neutral Logarithmic model: N t. He had established a set of applicable criteria for the existence of positive periodic solution of system (1.1) by applying the continuation theorem of the coincidence degree theory which proposed in [11] by Mawhin
Summary
There are more works on the periodic solution of neutral type Logistic models or Lotka-Volterra models (see [2,3,4,5,6,7] for details). In [8], Li had studied the following single species neutral Logarithmic model: He had established a set of applicable criteria for the existence of positive periodic solution of system (1.1) by applying the continuation theorem of the coincidence degree theory which proposed in [11] by Mawhin. In [9], Lu and Ge employed an abstract continuous theorem of k-set contractive operator to investigate the following equation: They established some criteria to guarantee the existence of positive periodic solutions of system (1.2). We investigate the existence, uniqueness of the positive periodic solution of the following neutral multi-species Logarithmic population system with multiple delays and impulses dNi ai bi j 1 cij j 1 dij j t ij t eij t j 1 t.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
