ON A STAGE-STRUCTURED POPULATION MODEL IN DISCRETE PERIODIC HABITAT: III. UNIMODAL GROWTH AND DELAY EFFECT

作者：Aye, Thazin; Shang, Guanyu^*; Su, Ying

来源：Discrete and Continuous Dynamical Systems - Series B, 2021, 26(4): 1763-1781.

DOI：10.3934/dcdsb.2021005

• Time delay
• Hopf bifurcation
• global dynamics

For a stage-structured population model in periodic discrete habitat, with periodic initial values it reduces to a system of two differential equations with time delay. Assuming the birth rate is of unimodal type, we obtain the influence of time delay on the local and global dynamics. In particular, large delay leads to population vanishing. As delay decreases, we found three critical values of delay for the emergence of different dynamics, by appealing to a combination of monotone dynamical system theory, Hopf bifurcation theory and the fluctuation method. Numerical simulations are also performed to illustrate the results.

• 单位
  harbin inst technol