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Laplace Adomian decomposition method for integro differential equations on time scale
Ain Shams Engineering JournalThe aim of this work is to probe the Laplace Adomian decomposition method (LADM) for some certain linear and non-linear integro-differential equations on an arbitrary time scales. Although, several researchers have treated integro-differential equations (
Shafiq Hussain, Feroz Khan
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Bounded and multiperiodic solutions of the system of partial integro-differential equations
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The system of partial integro - differential equations with an operator of differentiation with respect to directions of vector field is considered. The considering integro - differential equation does not contain space variables.
G.M. Aitenova +3 more
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Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations
, 2019 In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations.
Bhalekar, Sachin +2 more
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Plankton Communities Behave Chaotically Under Seasonal or Stochastic Temperature Forcings
Ecology and Evolution, Volume 15, Issue 8, August 2025.Periodic forcing can drive a system into chaos when the autonomous system exhibits periodic behavior. In contrast, stochastic forcing has the potential to induce chaos regardless of the underlying dynamics of the autonomous system. ABSTRACT Chaos is observed in natural systems, especially in ecosystems with populations characterized by a short ...
Guido Occhipinti +4 more
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New Approaches to Assess Food Web Stability in Aquatic Ecosystems: A Case Study on Baiyangdian Lake
Ecology and Evolution, Volume 15, Issue 8, August 2025.A method for calculating the interaction strength of a phytoplankton‐based and a detritus food web. A geometric mean ratio of predator‐to‐prey biomass BCBPt$$ {\left(\frac{B_C}{B_P}\right)}_t $$ as an alternative indicator for food web stability. The changes in the stability of the BYD Lake from the 1950s to the 2010s indicate that two steady‐state ...
Yong Zeng, Wei Yang, Yanwei Zhao
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Fokker--Planck and Kolmogorov Backward Equations for Continuous Time Random Walk scaling limits
, 2016 It is proved that the distributions of scaling limits of Continuous Time Random Walks (CTRWs) solve integro-differential equations akin to Fokker-Planck Equations for diffusion processes.
Baeumer, Boris, Straka, Peter
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Ecology and Evolution, Volume 15, Issue 8, August 2025.Surveillance of wildlife disease is important and often involves strategic methods to identify an effective design for a program's objectives that accounts for ecological and epidemiological complexities in the system. We present an interactive teaching tool, Surveillance Analysis and Sample Size Explorer (SASSE), to allow wildlife professionals to ...
Lauren Smith +5 more
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مجلة بغداد للعلوم, 2012 This paper is dealing with non-polynomial spline functions "generalized spline" to find the approximate solution of linear Volterra integro-differential equations of the second kind and extension of this work to solve system of linear Volterra integro ...
Baghdad Science Journal
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Deterministic Equations for Stochastic Spatial Evolutionary Games [PDF]
, 2010 Spatial evolutionary games model individuals who are distributed in a spatial domain and update their strategies upon playing a normal form game with their neighbors.
Hwang, Sung-Ha +2 more
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An existence theorem for an integro-differential equation
Journal of Mathematical Analysis and Applications, 1978 AbstractIn this paper we obtain an existence theorem for an integro-differential equation of the type u(s)+∫ω K(s,t) ∑α|⩽m (−1)|α| DαBα(t,ξ(u)(t)) dt=0. Hence ξ(u)(t) = {Dαu(t) : ¦ α ¦ ⩽ m} and Bα is a function of Ω × RSm in to R1.We assume that Bα satisfies “Nemytskii type” growth condition and also a monotonicity type condition.
openaire +2 more sources