Stability analysis for a size-structured model of species in a space-limited habitat

作者：He, Ze-Rong^*; Xie, Qiang-Jun; Wang, Hai-Tao

来源：International Journal of Biomathematics, 2016, 9(6): 1650093.

DOI：10.1142/S1793524516500935

• Space-limitation
• size-dependence
• spectrum
• reproduction number
• stability

We investigate the stability of steady states of a size-and stage-structured population model, which is a hybrid system of ordinary and partial differential equations with global integral feedbacks. After the formulation of a criterion by spectrum method, we derive conditions for global stability of the trivial state and local stability of the positive equilibrium via the basic reproduction rate. Furthermore, some examples and simulations are presented to illustrate the obtained results.

• 出版日期2016-11
• 单位杭州电子科技大学