Multiple positive periodic solutions for a generalized delayed population model with an exploited term

2007 ◽  
Vol 50 (1) ◽  
pp. 27-34 ◽  
Author(s):  
Zheng-qiu Zhang ◽  
Zhi-chen Wang
Keyword(s):  
Periodic Solutions ◽  
Population Model ◽  
Positive Periodic Solutions ◽  
Delayed Population Model

scholarly journals Dynamic Analysis of a Model for Spruce Budworm Populations with Delay

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Ahmadjan Muhammadhaji ◽  
Azhar Halik
Keyword(s):  
Numerical Simulation ◽  
Dynamic Analysis ◽  
Periodic Solutions ◽  
Population Model ◽  
Lyapunov Functional ◽  
Global Attractivity ◽  
Sufficient Conditions ◽  
Spruce Budworm ◽  
Positive Periodic Solutions ◽  
Inequality Techniques

A class of delayed spruce budworm population model is considered. Compared with previous studies, both autonomous and nonautonomous delayed spruce budworm population models are considered. By using the inequality techniques, continuation theorem, and the construction of suitable Lyapunov functional, we establish a set of easily verifiable sufficient conditions on the permanence, existence, and global attractivity of positive periodic solutions for the considered system. Finally, an example and its numerical simulation are given to illustrate our main results.

scholarly journals Existence and Global Attractivity of Positive Periodic Solutions for The Neutral Multidelay Logarithmic Population Model with Impulse

2013 ◽  
Vol 2013 ◽  
pp. 1-12
Author(s):  
Zhenguo Luo ◽  
Jianhua Huang ◽  
Liping Luo ◽  
Binxiang Dai
Keyword(s):  
Periodic Solution ◽  
Periodic Solutions ◽  
Population Model ◽  
Global Attractivity ◽  
Positive Periodic Solution ◽  
Positive Periodic Solutions ◽  
Contractive Operator ◽  
Inequality Techniques

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 Li 1999, Lu and Ge 2004, Y. Luo and Z. G. Luo 2010, and Wang et al. 2009. As an application, we also give an example to illustrate the feasibility of our main results.

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