Stability analysis of a fractional order coronavirus(COVID-19) epidemic model

In this paper a six-compartmental coronavirus(COVID-19) epidemic model is developed. We have divided the total population into five classes, namely susceptible, exposed, infected, treatment, recovered and the concentration of the coronavirus in the environment reservoir class. The basic reproduction number R0 is calculated using the next-generation matrix method. The stability analysis of the model shows that the system is locally asymptotically stable at the disease-free equilibrium (DFE) E₀ when R₀ 1, an endemic equilibrium E* exists and the system becomes locally asymptotically stable at E* under some conditions.Publisher's Versio

Even number of symmetric positive solutions for the system of higher order boundary value problems on time scales

In this paper, we establish at least two symmetric positive solutions for the system of higher order two-point boundary value problems on symmetric time scales by determining growth conditions and applying fixed point theorem in cone under suitable conditions. At the end of the paper, as an application, we demonstrate our results with examples

Solvability of iterative systems of three-point boundary value problems

We establish a criterion for the existence of at least one positive solution for the iterative system of three-point boundary value problems by determining the eigenvalues λi, 1 ≤ i ≤ n, using Guo–Krasnosel’skii fixed point theorem.Publisher's Versio

Denumerably many positive solutions for rl-fractional order bvp having denumerably many singularities

In this paper, we consider Riemann-Liouville two-point fractional order boundary value problem having denumerably many singularities and determined sufficient conditions for the existence of denumerably many positive solutions by an application of Krasnoselskii’s cone fixed point theorem in a Banach space.Publisher's Versio

Existence of positive solutions for a coupled system of higher order fractional boundary value problems

The aim of this paper is to establish the existence of at least one positive solution for a coupled system of higher order two-point fractional order boundary value problems under suitable conditions. The approach is based on the Guo–Krasnosel’skii fixed point theorem.Publisher's Versio

Lower and upper solutions for general two-point fractional order boundary value problems

This paper establishes the existence of a positive solution of fractional order two-point boundary value problem, Dq1a+ y(t) + f(t, y(t)) = 0, t ∈ [a, b], y(a) = 0, y′(a) = 0, αDq2a+ y(b) − βDq3a+ y(a) = 0, where Dqia+ , i = 1, 2, 3 are the standard Riemann-Liouville fractional order derivatives, 2 a ≥ 0, by an application of lower and upper solution method and fixed-point theorems.Publisher's Versio

Almost periodic positive solutions for a delayed nonlinear density dependent mortality Nicholson’s blowflies model on time scales

In this paper we discuss a nonlinear density dependent mortality Nicholson’s blowflies equation with multiple pairs of time varying delays. By contraction mapping theorem, we derived the necessary conditions for the existence of almost periodic positive solutions and by selecting suitable Lyapunov functionnal we study global asymptotic stability of the addressed model. Finally, some numerical simulations are listed to Show the validity of our methods.Publisher's Versio

Existence and nonexistence of positive solutions for a n-th order three-point boundary value problem

The purpose of this paper is to establish some results on the existence and nonexistence of positive solutions for a type of nonlinear n-th order three-point boundary value problems. The main tool is a fixed point theorem of the cone expansion and compression of functional type due to Avery, Anderson, and O’Regan. Some examples are presented to illustrate the availability of the main results.Publisher's Versio