Asymptotic behavior of a discrete-time density-dependent SI epidemic model with constant recruitment.

We use the epidemic threshold parameter, , and invariant rectangles to investigate the global asymptotic behavior of solutions of the density-dependent discrete-time SI epidemic model where the variables and represent the populations of susceptibles and infectives at time , respectively. The model features constant survival "probabilities" of susceptible and infective individuals and the constant recruitment per the unit time interval into the susceptible class. We compute the basic reproductive number, , and use it to prove that independent of positive initial population sizes, implies the unique disease-free equilibrium is globally stable and the infective population goes extinct.

Prevalence of Telehealth in Nursing: Implications for Regulation and Education in the Era of Value-Based Care.

Value-based care theoretically catalyzes the business case for telehealth. Hence, the purpose of this study was to define the proportion of a statewide nursing workforce who self-reported telehealth or telephonic nursing as their primary work setting in a U.S.

Global dynamics of certain homogeneous second-order quadratic fractional difference equation.

We investigate the basins of attraction of equilibrium points and minimal period-two solutions of the difference equation of the form x(n+1) = x²(n-1)/(ax²(n) + bx(n)x(n-1) + cx²(n-1)), n = 0,1, 2,…, where the parameters a,  b, and  c are positive numbers and the initial conditions x₋₁ and x₀ are arbitrary nonnegative numbers. The unique feature of this equation is the coexistence of an equilibrium solution and the minimal period-two solution both of which are locally asymptotically stable.