TY - JOUR
T1 - Stage-Structured Harvest Models
AU - Li , Meili
AU - Li , Jia
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 385
EP - 401
PY - 2022
DA - 2022/06
SN - 3
DO - http://doi.org/10.12150/jnma.2021.385
UR - https://global-sci.org/intro/article_detail/jnma/20669.html
KW - Stage structure, Population, Harvesting rate, Holling-II type,
Stability.
AB - <p style="text-align: justify;">We formulate a stage-structured population model where the population is divided to two classes, the juveniles and the adults. Then, we include
harvest in the model and assume that the harvesting is only on adults. The
cases where the harvesting rate is constant, proportional to the number of
adults, or of Holling-II type are studied. While the model dynamics are relatively simple when the harvesting rate is proportional, the model system with
a constant or a Holling-II type harvesting rate can have multiple positive equilibria. We explore the existence of all possible equilibria and investigate their
stability. We also give numerical examples to confirm our findings.</p>