[PDF] Top 20 Dynamical behavior of HIV-1 epidemic model with time dependent delay

... delayed HIV-1 infection mathematical model with two delays is ...the time of contacting and entering of virions into the target cells while the second one stands for virus production period ... See full document

... solving delay differential equations ...The delay argument is approximated using Lagrange ...constant delay (HIV-1 infection model), time dependent delay and ... See full document

... that time delays can exercise a role that is both complex and intriguing on the dynamic behaviour of a system [1, 2, 4, 5, 7, ...on dynamical systems not only involve stability but also involve ... See full document

... of deterministic model (1.1). If only consider the perturbation of β, then N (t) = S(t) + I (t) + R(t) is uniformly bounded, and some papers, see e.g. [15], [30], [47] and their references, mainly study its ... See full document

... without time delay. However, dynamical behaviors of models that of utilizing past information of the model reflects more realistic dynamical ...incorporate time delays into the ... See full document

... he dynamical system refers to the dynamic system of change over time, which includes continuous dynamical systems and discrete dynamical ...of dynamical systems, these systems have a ... See full document

... SIR epidemic model, which two noninteracting susceptible subclasses, the nonlinear incidence  S I p , time delay and pulse vaccination are ...the dynamical behavior of the ... See full document

... oscillatory behavior) of the schistosomiasis models that have significant biological background have been one of the most active areas of research and have attracted great attention of many ...vector-host ... See full document

... discrete time model in his attempt to understand the recurrence of measles epidemics ...simple epidemic model was published in 1911 and generalized epidemic model produced by ... See full document

... Tobacco Epidemic Report (2019), about five billion people all over the world have been covered by at least one comprehensive tobacco control measure, although there are still 59 countries in which none of the ... See full document

... SVIR epidemic model is incorporated to investigate its dynamical behavior in random ...the time fractional model has been procured by employing Laplace Adomian decomposition ... See full document

... denote respectively the susceptible, vaccinated, exposed, infectious and recovered partitions of the population, and be the total population. We assume that new individuals enter into the susceptible class of the ... See full document

... queueing model with exceptional service time for the first customer in each busy period that was described by infinitely many partial differential equations with integral boundary conditions and obtain that ... See full document

... interesting epidemic model for the spread of disease is the Susceptible-Infected- Recovered (SIR) model which models the interaction between the susceptible (S) popu- lation which are susceptible to ... See full document

... for the corresponding continuous model. In this paper, we will deal with this problem. The organization of the paper is as follows. We present some preliminaries including the positivity and boundedness of the ... See full document

... Motivated by the works of Liu et al. [10], van den Driessche and Zou [2], in this paper, we are concerned with the joint effects of disease relapse, saturation incidence and time delay describing latent ... See full document

... the model formulated since fuzziness is the closest possible approach to ...quantity model using fuzzy number operations based on the extension ...inventory model without backorder, and got fuzzy ... See full document

... inventory model of a deteriorating item during its seasonal time is considered where lifetime of an item has an upper ...with time and depends on the duration of ason of the item is imprecise in ... See full document

... Up to now, some work has been done on discrete-time epidemic models (for examples, see [–] and the references cited therein). These works mainly focused on the computa- tion of the basic reproduction ... See full document

... relevant to HIV epidemic in the population. These are the S people (Susceptible people), I people (infective people) and A people (AIDS cases). S people are without the virus but can contract it to become I ... See full document