Abstract
In this paper, based on the Leslie matrix and hybrids models, a new continuous age-structured model of periodical cicadas was proposed and its well-posedness was discussed through the theory of operator semigroups. Then, the existence and stability of equilibria were studied for the resulting system and some linearized stability conditions were obtained. In addition, the optimal control problem was also investigated to seek a strategy to decrease the density of cicadas with the minimal cost of changing the death rate. In the end, some numerical simulations were provided to illustrate the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 1523-1547 |
| Number of pages | 25 |
| Journal | Evolution Equations and Control Theory |
| Volume | 13 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2024 |
Keywords
- Age-structured cicada model
- C−semigroup
- optimal control
- stability