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denim: an R package for deterministic compartmental models with flexible dwell time distributions

open access: yesMethods in Ecology and Evolution, Volume 17, Issue 4, Page 1060-1068, April 2026.
Abstract Compartmental models are widely used for dynamical systems where states are discrete, such as in infectious disease epidemiology with the so‐called Susceptible‐Infectious‐Recovered (SIR) framework. For mathematical simplicity, rates of transition between compartments are generally assumed to be independent of the dwell time (or secondary ...
Ong TP, Phan ATQ, Ha LM, Choisy M.
europepmc   +2 more sources

Integro-differential equations with bounded operators in Banach spaces [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper investigates integro-differential equations in Banach spaces with operators, which are a composition of convolution and differentiation operators.
V.E. Fedorov, A.D. Godova, B.T. Kien
doaj   +3 more sources

On a second-order integro-differential equation with difference kernels and power nonlinearity [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The article studies a second-order integro-differential equation with difference kernels and power nonlinearity. A connection is established between this equation and an integral equation of the convolution type, which arises when describing the ...
S.N. Askhabov
doaj   +2 more sources

Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in
Zh.A. Sartabanov, G.M. Aitenova
doaj   +2 more sources

Ulam Stability of n-th Order Delay Integro-Differential Equations

open access: yesMathematics, 2021
In this paper, the Ulam stability of an n-th order delay integro-differential equation is given. Firstly, the existence and uniqueness theorem of a solution for the delay integro-differential equation is obtained using a Lipschitz condition and the ...
Shuyi Wang, Fanwei Meng
doaj   +1 more source

On a New Class of Singular Integro-differential Equations

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper for a new class of model and non-model partial integro-differential equations with singularity in the kernel, we obtained integral representation of family of solutions by aid of arbitrary functions.
T.K. Yuldashev, S.K. Zarifzoda
doaj   +1 more source

On the Fundamental Analyses of Solutions to Nonlinear Integro-Differential Equations of the Second Order

open access: yesMathematics, 2022
In this article, a scalar nonlinear integro-differential equation of second order and a non-linear system of integro-differential equations with infinite delays are considered.
Cemil Tunç, Osman Tunç
doaj   +1 more source

Haar Wavelet Method for the Numerical Solution of Nonlinear Fredholm Integro-Differential Equations [PDF]

open access: yesمجلة التربية والعلم, 2023
The solution of nonlinear Fredholm integro-differential equations plays a significant role in analyzing many nonlinear events that occur in chemistry, physics, mathematical biology, and a variety of other fields of science and engineering.
Najem A. Mohammad   +2 more
doaj   +1 more source

Neural Integro-Differential Equations

open access: yesProceedings of the AAAI Conference on Artificial Intelligence, 2023
Modeling continuous dynamical systems from discretely sampled observations is a fundamental problem in data science. Often, such dynamics are the result of non-local processes that present an integral over time. As such, these systems are modeled with Integro-Differential Equations (IDEs); generalizations of differential equations that comprise both an
Zappala, Emanuele   +6 more
openaire   +2 more sources

On the non-uniqueness of the solution to a boundary value problem of heat conduction with a load in the form of a fractional derivative [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper deals with the second boundary value problem for the loaded heat equation in the first quadrant.
M.T. Kosmakova   +2 more
doaj   +3 more sources

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