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Logistic equation and COVID-19 [PDF]

open access: yesChaos, Solitons and Fractals, 2020
Highlights • The generalized logistic equation is used to interpret the COVID-19 epidemic data.• The model describes properly the growth in the number of confirmed cases with time.• The actual data and logistic curves are shown.• The logistic model can ...
Oxana Kurkina   +2 more
exaly   +8 more sources

Fractal Logistic Equation [PDF]

open access: yesFractal and Fractional, 2019
In this paper, we give difference equations on fractal sets and their corresponding fractal differential equations. An analogue of the classical Euler method in fractal calculus is defined. This fractal Euler method presets a numerical method for solving
Alireza Khalili Golmankhaneh   +1 more
doaj   +5 more sources

Generalized logistic equation on Networks

open access: yesComptes Rendus. Mathématique, 2023
In this paper, we consider a general single species model in a heterogeneous environment of $n$ patches ($n\ge 2$), where each patch follows a generalized logistic law. First, we prove the global stability of the model.
Elbetch, Bilel
doaj   +4 more sources

A stretched logistic equation for pandemic spreading. [PDF]

open access: yesChaos Solitons Fractals, 2020
In this brief work we present a novel approach to the logistic dynamics of populations and epidemic spreading that can take into account of the complex nature of such a process in several real situations, where due to different agents the dynamics is no ...
Consolini G, Materassi M.
europepmc   +7 more sources

A Discretization Approach for the Nonlinear Fractional Logistic Equation. [PDF]

open access: yesEntropy (Basel), 2020
The present study aimed to develop and investigate the local discontinuous Galerkin method for the numerical solution of the fractional logistic differential equation, occurring in many biological and social science phenomena.
Izadi M, Srivastava HM.
europepmc   +2 more sources

The multi-patch logistic equation

open access: yesDiscrete and Continuous Dynamical Systems - B, 2021
The paper considers a \begin{document}$ n $\end{document} -patch model with migration terms, where each patch follows a logistic law. First, we give some properties of the total equilibrium population.
Bilel Elbetch   +3 more
semanticscholar   +5 more sources

A Discrete Equivalent of the Logistic Equation [PDF]

open access: yesAdvances in Difference Equations, 2010
A discrete equivalent and not analogue of the well-known logistic differential equation is proposed. This discrete equivalent logistic equation is of the Volterra convolution type, is obtained by use of a functional-analytic method, and is explicitly ...
Petropoulou EugeniaN
doaj   +4 more sources

Solution of a fractional logistic ordinary differential equation

open access: yesApplied Mathematics Letters, 2022
We solve the logistic differential equation of fractional order and non-singular kernel. The analytical solution is obtained.
Juan J Nieto
exaly   +2 more sources

Modified fractional logistic equation [PDF]

open access: yesPhysica A: Statistical Mechanics and its Applications, 2018
In the article (West, 2015), the author has obtained a function as the solution to fractional logistic equation (FLE). As demonstrated later in Area et al.
M. D’Ovidio, P. Loreti, S. S. Ahrabi
semanticscholar   +5 more sources

Paradoxes in the logistic equation? [PDF]

open access: yesEcological Modelling, 2005
Levins and Ginzburg raised two paradoxes concerning the logistic equation of population growth. None of them received a satisfactory answer within the frame of the original equation. Here, we propose solutions to both paradoxes.
Louis-Félix Bersier
exaly   +4 more sources

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