This work studies two important temporal fractional nonlinear evolution equations, namely the (2+1)-dimensional Chaffee–Infante equation and (1+1)-dimensional Zakharov by way of unified method along with properties local M-derivative. The typical structures optical soliton wave solutions are obtained in polynomial rational forms. Further, to grant validity non-singular given limitation conditions graphically depicted 3D. Also, expose effect a parameter on expected through 2D graphs....

In this study, a novel reaction-diffusion model for the spread of new coronavirus (COVID-19) is investigated. The spatial extension recent COVID-19 SEIR with nonlinear incidence rates by taking into account effects random movements individuals from different compartments in their environments. equilibrium points system are found both diffusive and non-diffusive models, where detailed stability analysis conducted them. Moreover, regions space parameters attained each point cases explored. A...

In this research, the model under consideration is Fokas system that simulates dynamics of wave through single mode fiber optics. Dark, bright, kink and periodic optical solitons are yielded using Painlevé approach semi-inverse variational principle. The constraint conditions for existence solutions also merge during derivation. obtained discussed to depict support theoretical outcomes phase portraits. Further, we have applied idea bifurcation chaos theories get a better understanding planar...

Abstract This work delves into the investigation of nonlinear dynamics pertaining to (3+1)-dimensional Kadomtsev-Petviashvili equation, which describes propagation long-wave with dissipation and dispersion in media. The research entails an exploration symmetry reductions using Lie group analysis, analysis dynamical system’s characteristics through bifurcation phase portraits, a study perturbed dynamic behavior chaos theory. Chaotic is identified various tools for detecting chaos, including...

Abstract The aim of this work is to develop a novel explicit unconditionally positivity preserving finite difference (FD) scheme and an implicit positive FD for the numerical solution dengue epidemic reaction–diffusion model with incubation period virus. proposed schemes are stable preserve all essential properties reaction diffusion model. This dynamically consistent property converge true equilibrium points system. Comparison well-known existing techniques also presented. time efficiency...

The present study is conducted to analyse the computational dynamical analysis of stochastic susceptible-infected-recovered pandemic model novel coronavirus. We adopted two ways for modelling like as transition probabilities and parametric perturbation techniques. applied different well-known methods Euler Maruyama, Euler, Runge Kutta dynamics mentioned above. Unfortunately, these do not restore properties positivity, boundedness, consistency, stability in sense biological reasoning,...

In this manuscript, we formulated a new nonlinear SEIQR fractional order pandemic model for the Corona virus disease (COVID-19) with Atangana-Baleanu derivative. Two main equilibrium points F0∗,F1∗ of proposed are stated. Threshold parameter R0 using next generation technique is computed to investigate future dynamics disease. The existence and uniqueness solution proved fixed point theorem. For numerical model, implemented newly Toufik-Atangana scheme validate importance arbitrary...

Abstract Countries affected by the coronavirus epidemic have reported many infected cases and deaths based on world health statistics. The crowding factor, which we named "crowding effects," plays a significant role in spreading diseases. However, introduction of vaccines marks turning point rate spread infections. Modeling both effects is vastly essential as it directly impacts overall population studied region. To determine peak infection curve considering third strain, develop...

This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed multiplicative time noise. The numerical solutions of governing model are carried out proposed non-standard finite difference (SNSFD) scheme. stability scheme is proved by using Von-Neumann criteria and consistency shown in mean square sense. To seek exact solutions, we applied Sardar subequation (SSE) modified exponential rational functional (MERF) techniques. constructed form exponential, hyperbolic,...

Nitrogen (N), the building block of plant proteins and enzymes, is an essential macronutrient for functions. A field experiment was conducted to investigate impact different N application rates (28, 57, 85, 114, 142, 171, 200 kg ha−1) on performance spring wheat (cv. Ujala-2016) during 2017–2018 2018–2019 growing seasons. control without kept comparison. Two years mean data showed optimum seed yield (5,461.3 N-application at 142 ha−1 whereas lower higher did not result in significant...

In this article, the ratio-dependent prey-predator system perturbed with time noise is numerically investigated. It relates to population densities of prey and predator in an ecological system. The initial models only depend on a couple differential equations. We are considering model where interaction influenced by both space need for coupled nonlinear partial equation effect random behavior environment. existence solutions guaranteed using Schauder's fixed point theorem. computation...

Corona virus disease (Covid-19) which has caused frustration in the human community remains concern of globe as every government struggles to defeat pandemic. To deal with situation, we have extensively studied a deadly Covid-19 model provide deep insight into dynamics. A mathematical analysis utilizing preventive measures is performed aim reduce burden. Some comprehensive techniques are employed demonstrate several essential properties solutions. start with, proved existence and uniqueness...