This study explores the intricacies of COVID-19 pandemic by employing a four-compartment model with fractal-fractional derivative based on Caputo concept. The analysis hinges Schauder fixed point theorem, used to qualitatively examine solutions and ascertain their existence uniqueness within model. fundamental reproduction number is determined through next-generation matrix approach. delves into stability equilibrium points conducts sensitivity parameters. without infections locally globally...

Infectious diseases have been a constant cause of disaster in human population. Simultaneously, it provides motivation for math and biology professionals to research analyze the systems that drive such illnesses order predict their long-term spread management. During several kinds delay come into play, owing changes dynamics. Here, we studied fractional dynamical system susceptible, exposed, infected, recovered vaccinated population with single incorporated infectious accounting time period...

The fractional order SEIQRD compartmental model of COVID-19 is explored in this manuscript with six different categories the Caputo approach. A few findings for new model’s existence and uniqueness criterion, as well non-negativity boundedness solution, have been established. When R Covid 19 <1 at infection-free equilibrium, we prove that system locally asymptotically stable. We also observed <1, globally stable absence disease. main objective study to investigate transmission dynamics...

The fractional order SIR model with a Holling type II saturated incidence rate and treatment are explored in this manuscript the Caputo derivative approach. existence uniqueness criterion, as well non-negativity boundedness of solution new have been established. stability analysis shows that system is locally globally asymptotically stable at disease-free equilibrium point E0 when R0<1 epidemic E∗ R0>1. For R0=1 exhibits forward bifurcation. Fractional-order Taylor's approach utilized to...

A virus that infects both humans and animals, monkeypox is common in many West African countries has sporadically spread to other parts of the world. There are serious public health concerns around globe as a result recent spike cases among endemic non-endemic populations. This paper proposes use Caputo sense fractal fractional-order derivatives examine dynamics transmission. The study uses Schauder's fixed point theorem evaluate solutions qualitatively establish their uniqueness inside...

The dynamics of COVID-19 (Coronavirus Disease-2019) transmission are described using a fractional order SIQR model. stability analysis the model is performed. To obtain semi-analytic solutions to model, Iterative Laplace Transform Method [ILTM] implemented. Real-time data from cases in India and Brazil employed estimate parameters Numerical obtained Adam-Bashforth-Moultonpredictor-corrector technique compared with those by ILTM. It observed that derivatives more effective studying spread...

In this manuscript, we analyze a fractional-order susceptible-infected-recovered (SIR) mathematical model with nonlinear incidence rate and treatment for the control of infectious illness. The infection is considered as Holling type II Monod-Haldane (MH) type. existence uniqueness criteria new model, well non-negativity boundedness, have been established. We also provide an ideal strategy SIR using parameter. solution suggested approximated Taylor's method. With help MATLAB (2018a), perform...

This study considers the classical Lotka -Volterra model for a prey-predator system with harvesting effort and catchability coefficients both species incorporating new prey-refuge parameter. Trapezoidal intuitionistic fuzzy numbers are considered to describe initial values of prey predator population. Generalized Hukuhara derivatives type 1 2 used formulate model. Non-negative feasible steady states stability criteria analyzed along strong weak solutions Numerical simulations help MATLAB...

The fuzziness of the parameters any mathematical model is a major concern today in field epidemiology. In this article we apply technique Hukuhara derivative for formulation HIV infection with CD4+T cell. We formulate two species four dimensional Fuzzy differential equation (FDE), uncertain behavior susceptible CD4+T-cells and infected CD4+T-cells. FDE when both populations i.e. cell (x(t)) (y(t)) are i-gH differentiable, x(t) y(t) ii-gH differentiable finally present population...

In this paper, we have tried to implement a relatively new exact series method of solution, known as the differential transform method, for solving one widely studied and challenging equations in nonlinear dynamics, Duffing–van der Pol oscillator equation. Chandrasekar et al (2004 J. Phys. A 37 4527) showed that force-free is completely integrable specific parametric choice, they derived general solution choice. The results paper are sufficient agreement with those al.

With multiple time delays, we investigated a Caputo fractional order dynamical system involving susceptible, exposed, infected, and recovered individuals. Positivity boundedness are also theoretically demonstrated using Laplace transform Mittag-Leffler function. The stability of the disease-free epidemic equilibrium points has been studied for both delayed non-delayed model. For generating numerical solutions to model system, used Adam-Bashforth-Moulton predictor-corrector technique. help...

The intuitionistic fuzzy differential equation (IFDE) is a robust mathematical tool that can deal with problems arising from model uncertainties. Intuitionistic sets are generalized of sets. They establish IFDE comprises an number characterized by membership and non-membership functions. This paper deals Hukuhara derivatives for fuzzy-valued A compartment drug concentration system has been described in fuzzy, setting to get more accurate model. initial conditions the proposed considered...

Abstract In this paper, we construct a tritrophic level food chain model considering the parameters as fuzzy interval numbers. We check positivity and boundedness of solutions system find out all equilibrium points along with its existence criteria. perform stability analysis at discuss in imprecise environment. also meticulous numerical simulations to study dynamical behavior detail. Finally, incorporate different harvesting scenarios deploy maximum sustainable yield (MSY) policies...

Abstract he fractional order SIR compartmental model with a Holling type II and saturated treatment rate are explored in this manuscript three different categoriesin the Caputo approach. A few findings for new model’s existence uniqueness criterion, as well non-negativity boundedness of solution, have beenestablished. The stability analysis shows that system is locallyas globally asymptotically stable at disease-free equilibrium point E 0 when R &lt; 1 epidemic &gt; 1. We also present an...

Intuitionistic fuzzy sets cannot consider the degree of indeterminacy (i.e., hesitation). This study presents an intuitionistic differential equation approach for lake water and sediment phosphorus model. We examine proposed model by assuming generalized trapezoidal numbers initial condition. Feasible equilibrium points, along with their stability criteria, are evaluated. describe characteristics solutions clarify difference between strong weak solutions. Numerical simulations performed in...

In this paper the effect of secondary electron emission on Jeans instability in a dusty plasma has been investigated. Due to emission, dust grains may have two stable equilibrium states out which one is negative and other positive. Here both cases considered separately. It shown that enhances when charge negative. also growth rate reduces with increasing

In this manuscript, we have studied a fractional-order tri-trophic model with the help of Caputo operator. The total population is divided into three parts, namely prey, intermediate predator and top predator. addition, fear impact on prey suggested in paper. Existence uniqueness along non-negativity boundedness system been investigated. We local stability at all equilibrium points. Also, discussed global Hopf bifurcation our interior point. Adam-Bashforth-Moulton approach utilized to...