Abstract: This study is carried out to describe the behaviour of vehicles flow on the road, in the presence of blocking effects. A non-linear three dimensional system of ordinary differential equations is used to describe vehicles flow on the road. The study classify total vehicles population on the road into three compartments as Free – Slow – Released vehicles. The formulated model is well-po...

In this paper, a virus dynamics model with Crowley-Martin functional response of the infection rate is investigated. By analyzing the corresponding characteristic equations, the local stability of an infection-free equilibrium point and infection equilibrium point are discussed. By constructing suitable Lyapunov functions and using LaSalles invariance principle, the global stability also are es...

Abstract In this paper, the dynamical behavior of a mathematical model cancer including tumor cells, immune and normal cells is investigated when delay term induced. Though was originally proposed by De Pillis et al. (Math. Comput. Model. 37:1221–1244, 2003), to make more realistic, we have added into model, it has incorporated novelty in our present work. The stability existing equilibrium poi...

this paper is concerned with global analysis of a delay sveir epidemiological model in a population of varying size. by using lyapunov stability method and lasalle’s invariance principle for delay systems, we prove that when there is no endemic equilibrium, the disease free equilibrium is globally asymptotically stable, otherwise the endemic equilibrium is globally stable.

In this work is examined whether it is possible to predict solid-liquid-vapor phase equilibrium of ternary systems used in the SAS processing by the Peng-Robinson equation of state coupled with the LCVM mixing rules and the UNIFAC method for excess Gibbs free energy calculation. The enthalpy of fusion and the melting point temperature are estimated by group contribution methods. The results sho...

background: breast cancer is the most common cancer in women. prostate‑specifc antigen  (psa) is a marker of prostate gland malignancy, which has been considered in cases with breast cancer in recent years. the goal of this study was to determine total and free psa levels in cases with malignant and benign breast lesions. methods:   in  this case–control study, ninety women with histological pr...

this paper introduces an implicit scheme for a   continuous representation of nonexpansive mappings on a closed convex subset of a hilbert space with respect to a   sequence of invariant means defined on an appropriate space of bounded, continuous real valued functions of the semigroup.   the main result is to    prove the strong convergence of the proposed implicit scheme to the unique solutio...

In this paper, we present a new result that allows for studying the global stability of disease-free equilibrium point when basic reproduction number is less than 1, in fractional calculus context. The method only involves linear algebra and can be easily applied to study asymptotic stability. After proving some auxiliary lemmas involving Mittag–Leffler function, main paper. Under assumptions, ...