(Delta z(t)=z({{t}^ -z(t),Delta w(t)=w({{t}^ -z(t)), T represents the perioDeltaimpulsive treatment of estrogen, (nin{{Z}_), ({{Z}_={1,2,3,ldots}), ρ represents the inhibiting effect of estrogen supplement on osteoclasts, (0<rho<1), and μ represents the stimulating effect of estrogen supplement on osteoblasts, (mu>0).
However, the model that incorporates the effects of PTH, CT and the impulsive treatments of estrogen has not been proposed and analyzed yet.
Even though several mathematical models of bone remodeling process were proposed and analyzed theoretically and numerically [7, 10 14], the model that incorporates the effects of PRL and the impulsive treatments of PTH has not been proposed and analyzed yet.
For some parameter sets, repeated impulsive mass treatment at a time or any time is sufficient to eliminate malaria entirely.
In order to describe the human actions for real word applications such as pest or virus control and disease treatment, impulsive semi-dynamic systems can be used, which can provide a natural description for threshold control strategies.
We performed numerical analyses on a seasonally forced epidemic model (of Ross-Macdonald type) with periodic impulsive annual mass treatment to address this question.
Consider a simple model of Ross-Macdonald type with seasonally forced vector abundance and periodic impulsive annual mass treatment: where is the left-hand limit of h(t) at t = τ i, δ(t) is the Dirac delta function, and satisfies 0 ≤ τ1 < 1 and τ i+1 = τ i + 1.
This suggests that employers should consider the negative impulsive effect of unfair treatment on effort and overtime when designing contracts and determining promotions.
In order to prevent and control the spread of an infectious disease, impulsive vaccination and pulse treatment are important and effective methods.
Though some might accuse Kelly of having a midlife crisis or decompensating due to his Parkinson's diagnosis, he and his doctors attribute this impulsive behavior to his treatment -- which included the drug Mirapex.
Furthermore, it is also of interest to examine the relationship between ambiguity aversion in decision under uncertainty with unknown probability [ 14] and subjects' degree of unpredictability aversion, to elucidate substance abusers' risk-taking, and psychopharmacological treatment for impulsive behavior.
