Analysis of Variance of Integro-Differential Equations with Application to Population Dynamics of Cotton Aphids

Iterative Reproducing Kernel Method for Solving Second-Order Integrodifferential Equations of Fredholm Type

“…The topic of integrodifferential equations (IDEs) which has attracted growing interest for some time has been recently developed in many applied fields, so a wide variety of problems in the physical sciences and engineering can be reduced to IDEs, in particular in relation to mathematical modeling of biological phenomena [1][2][3], aeroelasticity phenomena [4], population dynamics [5], neural networks [6], electrocardiology [7], electromagnetic [8], electrodynamics [9], and so on. Thus, it is important to study boundary value problems (BVPs) for especially the nonlinear IDEs, which can be classified into two types: Fredholm and Volterra IDEs, where the upper bound of the integral part of Fredholm type is a fixed number whilst it is a variable for Volterra type [10].…”

Dynamics and pest and natural enemies dispersion in cowpea and colored cotton in sole or intercropping systems

“…Several models have been developed to study pest dynamics in sole crops or intercropping systems (Matis et al 2005;Patil & Mytri 2013;Tonnang et al 2017). Integrodifferential equations (IDEs) and mechanistic models can be used as a powerful tool since they performed the insect dynamics in the same proportion as the classical nonlinear regression (Wang, Cao & Huang 2013). Stochastic population size model showed that it is possible to use differential equations to predict the peak aphid count and final cumulative count, helping ecologists understand the size of the peak and its implications to pest management.…”