Spatiotemporal analysis of a modified Leslie–Gower model with cross-diffusion and harvesting

S Biswas, LT Bhutia, TK Kar, B Bhunia, E Das - Physica D: Nonlinear …, 2024 - Elsevier
This paper considers a modified Leslie–Gower prey–predator reaction–diffusion model
introducing harvesting of both species. Both the temporal and spatiotemporal dynamics of …

Bubbling and hydra effect in a population system with Allee effect

K Garain, PS Mandal - Ecological Complexity, 2021 - Elsevier
We present a continuous time predator-prey model and predator's growth subjected to
component Allee effect. The model also includes density dependent mortality of predator …

Bifurcation analysis of a predator–prey model with Beddington–DeAngelis functional response and predator competition

Y Zhang, J Huang - Mathematical Methods in the Applied …, 2022 - Wiley Online Library
In this paper, we consider a predator–prey model with Beddington–DeAngelis functional
response and predator competition, which is a five‐parameter family of planar vector field. It …

[PDF][PDF] Mathematical modeling and analysis of Phytoplankton–Zooplankton–Nanoparticle dynamics

G Suganya, R Senthamarai - Mathematical modeling and …, 2022 - science.lpnu.ua
In this paper, we investigate the population dynamics of phytoplankton–zooplankton–
nanoparticle model with diffusion and density dependent death rate of predator. The …

BIFURCATION ANALYSIS OF A PREDATOR-PREY MODEL WITH STRONG ALLEE EFFECT AND BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE.

BT Mulugeta, L Yu, Q Yuan… - Discrete & Continuous …, 2023 - search.ebscohost.com
This manuscript examines the dynamics of a predator-prey model of the Beddington-
DeAngelis type with strong Allee effect on prey growth function. Conditions for the existence …

Model discovery of compartmental models with Graph-Supported Neural Networks

FJ Aguilar-Canto, C Brito-Loeza, H Calvo - Applied Mathematics and …, 2024 - Elsevier
In this proposal, our objective is to create a neural network for the discovery of models using
compartmental models as systems of Ordinary Differential Equations (ODEs), employing …

Mosquito suppression via Filippov incompatible insect technique

DM Fawzy, AA Arafa, A Elsaid, WK Zahra - Applied Mathematics and …, 2024 - Elsevier
Mosquito-borne diseases persist as a global health challenge despite ongoing control
efforts, necessitating the exploration of alternative control approaches. This research …

[PDF][PDF] Dynamics of an ecological prey–predator model based on the generalized Hattaf fractional derivative

F Assadiki, M El Younoussi - Mathematical Modeling and …, 2024 - science.lpnu.ua
In this paper, we propose and analyze a fractional prey–predator model with generalized
Hattaf fractional (GHF) derivative. We prove that our proposed model is ecologically and …

Bifurcation analysis in a predator–prey model with strong Allee effect on prey and density‐dependent mortality of predator

Z Shang, Y Qiao - Mathematical Methods in the Applied …, 2024 - Wiley Online Library
The influences of Allee effect and density‐dependent mortality on population growth are of
great significance in ecology. In this paper, we first consider a Gause‐type predator–prey …

A Comprehensive Study of Bifurcations in an Interactive Population Model with Food-Limited Growth

RP Gupta, S Tiwari, A Kumar - Differential Equations and Dynamical …, 2024 - Springer
In a two-dimensional prey–predator model with a Holling type-II functional response and a
food-limited prey growth rate, this study explores the consequences of predator harvesting …