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Estimates of Solutions for Integro‐Differential Equations in Epidemiological Modeling

Mathematical Methods in the Applied Sciences, Volume 48, Issue 10, Page 10533-10543, 15 July 2025.
ABSTRACT Integro‐differential equations (IDE) have been applied in a variety of areas of research, including epidemiology. Recently, IDE systems were applied to study dengue fever transmission dynamics at the population level. In this study, we extend the approach presented in a previous study for describing the epidemiological model of dengue fever ...
A. Domoshnitsky, I. Volinsky, S. Biton, V. Steindorf   +3 more
wiley   +1 more source

Use of Community Science Data to Assess Factors Associated With Diamond‐Backed Terrapin (Malaclemys terrapin) Sightings in Coastal Marshes of Southeastern North Carolina, USA

Ecology and Evolution, Volume 15, Issue 6, June 2025.
The aim of this study was to assess the factors associated with diamond‐backed terrapin sightings at two estuarine monitoring sites in North Carolina using data collected via community science head count surveys. Spatial and temporal patterns in diamond‐backed terrapin sightings may be influenced by foraging patterns and behaviors associated with ...
Morgan Whitmer, Elizabeth Pinnix, Sarah Finn, Jessie Jarvis, Hope Sutton, Amanda Southwood Williard   +5 more
wiley   +1 more source

Solving system of integro differential equations using discrete adomian decomposition method

Journal of Taibah University for Science, 2019
In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM)
H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi   +2 more
doaj   +1 more source

Quasilinear Differential Constraints for Parabolic Systems of Jordan‐Block Type

Studies in Applied Mathematics, Volume 154, Issue 6, June 2025.
ABSTRACT We prove that linear degeneracy is a necessary conditions for systems in Jordan‐block form to admit a compatible quasilinear differential constraint. Such condition is also sufficient for 2×2$2\times 2$ systems and turns out to be equivalent to the Hamiltonian property.
Alessandra Rizzo, Pierandrea Vergallo
wiley   +1 more source

Well‐Posedness, Long‐Time Behavior, and Discretization of Some Models of Nonlinear Acoustics in Velocity–Enthalpy Formulation

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8793-8805, 30 May 2025.
ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley   +1 more source

Adjoint systems and Green functionals for second-order linear integro-differential equations with nonlocal conditions

Electronic Journal of Differential Equations, 2015
In this work, we generalize so called Green's functional concept in literature to second-order linear integro-differential equation with nonlocal conditions. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-
Ali Sirma
doaj  

General Decay and Blowing‐Up Solutions of a Nonlinear Wave Equation With Nonlocal in Time Damping and Infinite Memory

Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 9046-9057, 30 May 2025.
ABSTRACT This paper shows that long‐term stability and blowing‐up solutions for a nonlinear wave equation with a nonlocal damping of Choi and MacCamy type and a nonlocal dispersion can occur. The method of proof of general decay relies on a suitable Lyapunov functional.
Mokhtar Kirane, Radhouane Aounallah, Lotfi Jlali   +2 more
wiley   +1 more source

Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions

, 2017
In this paper, we are concerned with the existence and uniqueness of solutions for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary condition.
Mingyue Zuo, Xinan Hao, Lishan Liu, Yujun Cui   +3 more
semanticscholar   +1 more source

Analytic-Approximate Solution For An Integro- Differential Equation Arising In Oscillating Magnetic Fields Using Homotopy Analysis Method [PDF]

Iranian Journal of Optimization, 2013
In this paper, we give an analytical approximate solution for an integro- differential equation which describes the charged particle motion for certain configurations of oscillating magnetic fields is considered.
H. Saberi-Nik, S. Effati, R. Buzhabadi
doaj  

Solving singularly perturbed fredholm integro-differential equation using exact finite difference method. [PDF]

BMC Res Notes, 2023
Badeye SR, Woldaregay MM, Dinka TG.
europepmc   +1 more source