We give sufficient conditions for the existence of a time-varying state-dependent routing strategy which ensures that the closed-loop system satisfies basic network properties of positivity, conservation and interconnection while ensuring that capacity constraints are satisfied, when possible, or adjusted if a solution cannot be found.
The basic properties on the positivity and boundedness of solutions and the existence of the virus-free equilibrium, the no-immune equilibrium and the infected equilibrium are established.
The basic properties on the positivity and boundedness of solutions and the existence of the virus-free, the no-immune, and the infected equilibria are established.
In this paper, for fast system (6) we will investigate the dynamical behaviors, including the positivity, boundedness, basic reproduction number, the existence of equilibria and the local stability of equilibria by using the discretization method.
Positivity attracts positive outcomes.
In Section 3, the basic theory, including existence, uniqueness, positivity and boundedness of solutions for the model are discussed.
They want to make you into what they consider acceptable and attractive". "Unlearning this way of thinking starts with educating oneself about body positivity, feminism and basic human decency," Papastavros continued.
Next, we will state and prove some basic results on the existence, uniqueness, positivity and ultimate boundedness of solutions with positive initial conditions for model (4).
In contrast, vehicle-treated EAE axons had large areas of NF200 positivity and minimal myelin basic protein staining, denoting demyelination [ Fig. 6A ii)].
Firstly, we address the basic properties of the model, such as the positivity and the boundedness of solutions.
The next section deals with some preliminary results about the positivity and boundedness of solutions, the basic reproduction number, and the existence of equilibria.
