A study of fractional Lotka‐Volterra population model using Haar wavelet and Adams‐Bashforth‐Moulton methods

S Kumar, R Kumar, RP Agarwal… - … Methods in the Applied …, 2020 - Wiley Online Library
The Lotka‐Volterra (LV) system is an interesting mathematical model because of its
significant and wide applications in biological sciences and ecology. A fractional LV model …

Chaotic behaviour of fractional predator-prey dynamical system

S Kumar, R Kumar, C Cattani, B Samet - Chaos, Solitons & Fractals, 2020 - Elsevier
In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …

[HTML][HTML] Trophodynamics as a tool for understanding coral reef ecosystems

SL Bierwagen, MR Heupel, A Chin… - Frontiers in Marine …, 2018 - frontiersin.org
The increased frequency of publications concerning trophic ecology of coral reefs suggests
a degree of interest in the role species and functional groups play in energy flow within …

Accurate and efficient matrix techniques for solving the fractional Lotka–Volterra population model

M Izadi, Ş Yüzbaşı, W Adel - Physica A: Statistical Mechanics and its …, 2022 - Elsevier
This paper aims to develop accurate novel collocation techniques for solving a fractional
fractional-order Lotka–Volterra (LV) predator–prey model. This type of equation has a wide …

A nonlinear fractional model to describe the population dynamics of two interacting species

S Kumar, A Kumar, ZM Odibat - Mathematical Methods in the …, 2017 - Wiley Online Library
In this paper, the approximate analytical solutions of Lotka–Volterra model with fractional
derivative have been obtained by using hybrid analytic approach. This approach is …

Coupling agent-based with equation-based models to study spatially explicit megapopulation dynamics

N Marilleau, C Lang, P Giraudoux - Ecological modelling, 2018 - Elsevier
The incorporation of the spatial heterogeneity of real landscapes into population dynamics
remains extremely difficult. We propose combining equation-based modelling (EBM) and …

Where to rewild? A conceptual framework to spatially optimize ecological function

H Thierry, H Rogers - Proceedings of the Royal Society …, 2020 - royalsocietypublishing.org
Rewilding is an approach aiming at restoring ecosystems to a self-sustaining state by
restoring ecological function through active reintroductions or passive management …

[图书][B] Ecological-economic modelling for Biodiversity Conservation

M Drechsler - 2020 - books.google.com
Ecologists and economists both use models to help develop strategies for biodiversity
management. The practical use of disciplinary models, however, can be limited because …

[图书][B] Modelling landscape dynamics

F Papadimitriou - 2023 - Springer
Creating mathematical models of landscape dynamics is important for geographers,
ecologists, planners, experts in GIS and geospatial technologies, mathematicians …

Simulating seasonal drivers of aphid dynamics to explore agronomic scenarios

H Thierry, C Monteil, H Parry, A Vialatte - Ecosphere, 2021 - Wiley Online Library
With the regulation of pesticides in European agricultural landscapes, it is important to
understand how pest populations respond to climate and landscape variables in the …