@Article{JNMA-5-4,
author = {Zegeling, André and Wang, Hailing and Zhu, Guangzheng},
title = {Uniqueness of Limit Cycles in a Predator-Prey Model with Sigmoid Functional Response},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2023},
volume = {5},
number = {4},
pages = {790--802},
abstract = {<p style="text-align: justify;">In this paper, we prove that a predator-prey model with sigmoid
functional response and logistic growth for the prey has a unique stable limit
cycle, if the equilibrium point is locally unstable. This extends the results of
the literature where it was proved that the equilibrium point is globally asymptotically stable, if it is locally stable. For the proof, we use a combination of
three versions of Zhang Zhifen’s uniqueness theorem for limit cycles in Liénard
systems to cover all possible limit cycle configurations. This technique can be
applied to a wide range of differential equations where at most one limit cycle
occurs.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2023.790},
url = {https://global-sci.com/article/87903/uniqueness-of-limit-cycles-in-a-predator-prey-model-with-sigmoid-functional-response}
}