A Fractional-Order Leslie-Gower Model with Fear and Allee Effect
نویسندگان
چکیده
In this manuscript, we investigate the dynamics behavior of a fractional-order Leslie-Gower model by considering fear effect in prey and Allee predators. Firstly, all possible equilibrium points are analyzed identifying conditions their existence local stability. Here, find four points, where two stable unstable points. Furthermore, also stability changing caused Hopf bifurcation when order derivative changes. Finally, perform several simulations to support our analysis results.
منابع مشابه
Three Limit Cycles in a Leslie--Gower Predator-Prey Model with Additive Allee Effect
In this work, a bidimensional continuous-time differential equations system is analyzed which is derived of Leslie-type predator-prey schemes by considering a nonmonotonic functional response and Allee effect on population prey. For the system obtained we describe the bifurcation diagram of limit cycles that appears in the first quadrant, the only quadrant of interest for the sake of realism. W...
متن کاملMultiple limit cycles in a Leslie–Gower-type predator–prey model considering weak Allee effect on prey
In this work, a modified Leslie–Gower-type predator–prey model is analyzed, considering now that the prey population is affected by a weak Allee effect, complementing results obtained in previous papers in which the consequences of strong Allee effect for the same model were established. In order to simplify the calculations, a diffeomorphism is constructed to obtain a topological equivalent sy...
متن کاملGlobal asymptotic properties for a Leslie-Gower food chain model.
We study global asymptotic properties of a continuous time Leslie-Gower food chain model. We construct a Lyapunov function which enables us to establish global asymptotic stability of the unique coexisting equilibrium state.
متن کاملGlobal stability in a multi-species periodic Leslie–Gower model
This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date...
متن کاملDynamics of a Stage-Structured Leslie-Gower Predator-Prey Model
A generalized version of the Leslie-Gower predator-prey model that incorporates the prey population structure is introduced. Our results show that the inclusion of age structure in the prey population does not alter the qualitative dynamics of the model; that is, we identify sufficient conditions for the “trapping” of the dynamics in a biological compact set—albeit the analysis is a bit more ch...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cauchy
سال: 2023
ISSN: ['2477-3344', '2086-0382']
DOI: https://doi.org/10.18860/ca.v7i4.17336