Models of bio-mathematics are experimental systems that recreate aspects human tissue function, diseases or virus. In this research, a new operational matrix based on the Laguerre wavelets is introduced for arbitrary-order susceptible-infected-recovered (SIR) epidemic dynamical system childhood diseases. An exact mechanism Riemann–Liouville arbitrary integral operator explained where derivative...

This paper provides an illustrated key to about 40 species of Frankliniella recorded from Brazil, together with notes about each species. Two new synonyms are established: Frankliniella longispinosa Moulton is a synonym of Frankliniella varipes Moulton; Frankliniella rodeos Moulton is a synonym of Frankliniella gemina Bagnall, all described originally from South America. One new species is desc...

A third-order in time numerical IMEX-type algorithm for the StokesDarcy system for flows in fluid saturated karst aquifers is proposed and analyzed. A novel third-order Adams-Moulton scheme is used for the discretization of the dissipative term whereas a third-order explicit Adams-Bashforth scheme is used for the time discretization of the interface term that couples the Stokes and Darcy compon...

The increasing complexity of advanced devices and systems increases the scale mathematical models used in computer simulations. Multiparametric analysis study on long-term time intervals large-scale are computationally expensive. Therefore, efficient numerical methods required to reduce costs. Recently, semi-explicit semi-implicit Adams–Bashforth–Moulton have been proposed, showing great comput...

We propose and study two second-order in time implicit-explicit (IMEX) methods for the coupled Stokes-Darcy system that governs flows in karst aquifers. The first is a combination of a second-order backward differentiation formula and the second-order Gear’s extrapolation approach. The second is a combination of the second-order Adams-Moulton and second-order Adams-Bashforth methods. Both algor...

We construct flat Laguerre planes that admit the universal covering group of SL2R, extended by a factor R, as a group of automorphisms. These planes contain the affine Moulton planes as derived planes, and they are constructed by gluing together two copies of a Moulton plane, folded up along their fixed lines. The action of the Moulton group carries over (modulo Z2) to the Laguerre planes, and ...

We propose and study two second-order in time implicit-explicit (IMEX) methods for the coupled Stokes-Darcy system that governs flows in karst aquifers. The first is a combination of a second-order backward differentiation formula and the second-order Gear’s extrapolation approach. The second is a combination of the second-order Adams-Moulton and second-order Adams-Bashforth methods. Both algor...

The current investigations provide the solutions of nonlinear fractional order mathematical rape and its control model using strength artificial neural networks (ANNs) along with Levenberg-Marquardt backpropagation approach (LMBA), i.e., networks-Levenberg-Marquardt (ANNs-LMBA). have been presented to find more realistic results form model. differential has six classes: susceptible native girls...

By adding a suitable real function on both sides of the quadratic Riccati differential equation, we propose a weighted type of Adams-Bashforth rules for solving it, in which moments are used instead of the constant coefficients of Adams-Bashforth rules. Numerical results reveal that the proposed method is efficient and can be applied for other nonlinear problems.