The stability of the critical points of the generalized Gause type predator-prey fishery models with proportional harvesting and time delay

WN Wan Hussin, R Embong, CN Noor - Malaysian Journal of …, 2021 - ir.uitm.edu.my
In the marine ecosystem, the time delay or lag may occur in the predator response function,
which measures the rate of capture of prey by a predator. This is because, when the growth …

Study on dynamic behavior of two fishery harvesting models: effects of variable prey refuge and imprecise biological parameters

G Hua, T Yuan, S Kaibiao, S Xinyu - Journal of Applied Mathematics and …, 2023 - Springer
In natural systems, the change of ecological environment can indirectly affect some key
biological parameters of species and their activity patterns, among which the imprecision of …

Stability analysis of a predator-prey model with stage structure

Q Pang, Y Gao - Journal of Physics: Conference Series, 2022 - iopscience.iop.org
Many scholars have explored the population dynamics system, functional response, time-
delay response, and so on. Based on the existing research, this paper studies a class of …

On the global asymptotic stability of a predator–prey model with Crowley–Martin function and stage structure for prey

MT Hoang - Journal of Applied Mathematics and Computing, 2020 - Springer
In this work, we present a mathematically rigorous analysis for the local and global
asymptotic stability of a predator–prey model with Crowley–Martin function and stage …

Dynamics of a modified Leslie-Gower model with Crowley-Martin functional response and prey harvesting

R Sivasamy, K Sathiyanathan… - Journal of Applied …, 2019 - lhscientificpublishing.com
In this paper, dynamics of modified Leslie-Gower predator-prey model with Crowley-Martin
functional response and nonlinear prey harvesting is discussed. We discuss the …

Dynamics Analysis of Modified Leslie-Gower Model with Simplified Holling Type IV Functional Response

NS Ramadhani, T Toaha… - … Matematika, Statistika dan …, 2021 - journal.unhas.ac.id
In this paper, the modified Leslie-Gower predator-prey model with simplified Holling type IV
functional response is discussed. It is assumed that the prey population is a dangerous …

Dynamical behaviours of prey-predator fishery model with two reserved area for prey in the presence of toxicity and response function Holling type IV

MR Lemnaouar, H Benazza, M Khalfaoui… - J. Math. Comput. Sci., 2021 - scik.org
This paper proposes a model with two type of preys and one predator of fishery with Holling
type IV function response. The effect of harvesting was incorporated to both populations and …

Bifurcation analysis of a discrete Leslie–Gower predator–prey model with slow–fast effect on predator

A Suleman, A Qadeer Khan… - Mathematical Methods in …, 2024 - Wiley Online Library
Understanding and accounting for the slow–fast effect are crucial for accurately modeling
and predicting the dynamics of predator–prey models, emphasizing the importance of …

Alternative Resource and Harvesting in Predator-prey Dynamics: Analyzing a Delay Model

S Samanta - Journal of Applied Nonlinear Dynamics, 2022 - lhscientificpublishing.com
We study the effect of harvesting on the stability of a predator-prey system. Alternative
resource is provided to predator population to reduce extinction probability of predator. The …

[PDF][PDF] Stability analysis and maximum profit of predator–prey population model with time delay and constant effort of harvesting

S Toaha, MHA Hassan, F Ismail… - Malaysian Journal of …, 2008 - einspem.upm.edu.my
In this paper we present a deterministic and continuous model for predator-prey population
model based on Lotka-Volterra model. The model is then developed by considering time …