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

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

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

Iterative system of nabla fractional difference equations with two-point boundary conditions

In this paper, we consider the nabla fractional order boundary value prob- lem ∇ß−1 n0 [∇zj (t)] + φ(t)gj (zj+1(t)) = 0, t ∈ Nn n0+2, 1 < ß < 2, azj (n0 + 1) − b∇zj (n0 + 1) = 0, czj (n) + d∇zj (n) = 0, where j = 1, 2, . . . , N , zN +1 = z1, N ∈ N, n0, n ∈ R with n − n0 ∈ N and de- rive sufficient conditions for the existence of positive solutions by an application of Krasnoselskii’s fixed point theorem on a Banach space. Later, we derive suffi- cient conditions for the existence of a unique solution by applying Rus’s contraction mapping theorem in a metric space, where two metrics are employed