Complex Dynamics of Ecoepidemiological Model of Fear‐Induced Infected Prey and Predator
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Ecoepidemiology is a discipline within biomathematics that investigates and analyzes the dynamics of infectious disease transmission, emphasizing on the interactions among species and tackling both ecological and epidemiological issues. For many years, a multitude of studies has concentrated on exploring the effects of disease in predator–prey dynamics.
Bhagya laxmi Koyada +3 more
wiley +1 more source
On Some Classes of Linear Volterra Integral Equations
Abstract and Applied Analysis, 2014 The sufficient conditions are obtained for the existence and uniqueness of continuous solution to the linear nonclassical Volterra equation that appears in the integral models of developing systems.
Anatoly S. Apartsyn
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
wiley +1 more source
An Efficient Method Based on Framelets for Solving Fractional Volterra Integral Equations. [PDF]
Entropy (Basel), 2020 Mohammad M, Trounev A, Cattani C.
europepmc +1 more source
Understanding Measles Contagion: A Fractional‐Order Model With Stability and Sensitivity Insights
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we propose an epidemiological mathematical model described by a system of nonlinear differential equations of fractional order (FODEs). Specifically, we employ the Caputo fractional derivative (CFD). Our analysis verifies the existence of a solution.
Mahmoud H. DarAssi +3 more
wiley +1 more source
The Existence of Monotonic Solutions of a Class of Quadratic Integral Equations of Volterra Type [PDF]
, 2019 Osman Karakurt, Ö. Faruk Temizer
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Modeling Prey–Predator Populations With Noise Following the Extended Gaussian Distribution
Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.This study examines how tourism influences the ecological balance of a protected natural park where two interacting wildlife species follow Lotka–Volterra‐type prey–predator dynamics. Tourists’ decisions to visit the park depend on environmental fluctuations, species visibility, and time‐varying preferences toward prey and predator populations.
Kumlachew Wubale Tesfaw +3 more
wiley +1 more source
Utilizing the Upadhyaya Transform to solve the linear second kind Volterra Integral Equation
, 2023 Dinesh S. Thakur, Prakash Chand Thakur
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ON A QUASILINEAR VOLTERRA INTEGRAL EQUATION
Demonstratio Mathematica, 1984 The author proves an existence theorem for the quasilinear Volterra integral equation \[ u(t)=p(t,x)+\int^{t}_{0}K(t,s)Q(s,u(s))u(s)ds, \] where x is from a finite-dimensional Banach space and u is the unknown function on [0,\(\infty)\). The proof relies on a result of \textit{G. L. Cain} and the reviewer [Pac. J. Math.
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Linear-Quadratic Optimal Controls for Stochastic Volterra Integral Equations: Causal State Feedback and Path-Dependent Riccati Equations [PDF]
, 2022 Hanxiao Wang, Jiongmin Yong, Chao Zhou
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