Pseudo compact almost automorphic solutions for a family of delayed population model of Nicholson type

2021 ◽  
Vol 495 (1) ◽  
pp. 124722
Author(s):  
Syed Abbas ◽  
Soniya Dhama ◽  
Manuel Pinto ◽  
Daniel Sepúlveda
Keyword(s):  
Population Model ◽  
Almost Automorphic ◽  
Delayed Population Model

Traveling Waves Connecting Equilibrium and Periodic Orbit for a Delayed Population Model on a Two-Dimensional Spatial Lattice

2016 ◽  
Vol 26 (03) ◽  
pp. 1650049 ◽  
Author(s):  
Cui-Ping Cheng ◽  
Wan-Tong Li ◽  
Zhi-Cheng Wang ◽  
Shenzhou Zheng
Keyword(s):  
Periodic Orbit ◽  
Traveling Waves ◽  
Population Model ◽  
Traveling Wave Solution ◽  
Heteroclinic Orbits ◽  
Two Dimensional ◽  
Regular Perturbation ◽  
Perturbation Problem ◽  
Spatial Lattice ◽  
Delayed Population Model

This paper is concerned with the existence of fast traveling waves connecting an equilibrium and a periodic orbit in a delayed population model with stage structure on a two-dimensional spatial lattice, under the assumption that the corresponding ODEs have heteroclinic orbits connecting an equilibrium point and a periodic solution. In this work, we rewrite the mixed functional differential equation as an integral equation in a Banach space and analyze the corresponding linear operator. Our approach eventually reduces a singular perturbation problem to a regular perturbation problem. The existence of traveling wave solution therefore is obtained by using the Liapunov–Schmidt method and implicit function theorem.

scholarly journals Dynamics of a delayed population model with feedback control

2000 ◽  
Vol 41 (4) ◽  
pp. 451-457 ◽  
Author(s):  
Wang Wendi ◽  
Tang Chunlei
Keyword(s):  
Feedback Control ◽  
Population Growth ◽  
Population Model ◽  
Time Delays ◽  
Sufficient Conditions ◽  
Positive Equilibrium ◽  
Delayed Population Model

This paper studies a system proposed by K. Gopalsamy and P. X. Weng to model a population growth with feedback control and time delays. Sufficient conditions are established under which the positive equilibrium of the system is globally attracting. The conjecture proposed by Gopalsamy and Weng is here confirmed and improved.

Permanence of delayed population model with dispersal loss

2006 ◽  
Vol 201 (1-2) ◽  
pp. 143-156 ◽  
Author(s):  
Yasuhiro Takeuchi ◽  
Jing’an Cui ◽  
Rinko Miyazaki ◽  
Yasuhisa Saito
Keyword(s):  
Population Model ◽  
Delayed Population Model
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