The challenge posed by malaria disease calls for an urgent need a better understanding of important parameters in the transmission and development prevention control spread disease. In this work, mathematical model dynamics is developed analyzed. There existence free equilibrium endemic point model, local stability obtained using Jacobian matrix which locally asymptotically stable whenever basi...

Second order sliding mode control synthesis is developed for underactuated mechanical systems, operating under uncertainty conditions. In order to locally stabilize an underactuated system around an unstable equilibrium, an output is specified in such a way that the corresponding zero dynamics is locally asymptotically stable. Then, the desired stability property of the closed-loop system is pr...

Switched control synthesis is developed for underactuated mechanical systems. In order to locally stabilize an underactuated system around an unstable equilibrium, its output is specified in such a way that the corresponding zero dynamics is locally asymptotically stable. Once such an output has been chosen, the desired stability property of the closed-loop system is provided by applying a Zeno...

The conjecture of Arino and van den Driessche (2003) that a SIS type model in a moverstayer epidemic model is globally asymptotically stable is confirmed analytically. If the basic reproduction number R0 ≤ 1, then the disease free equilibrium is globally asymptotically stable. If R0 > 1, then there exists a unique endemic equilibrium which is globally asymptotically stable on the nonnegative or...

A novel mathematical delay model for simultaneous infection of HIV and hepatitis C virus is formulated dynamically analyzed. Basic properties the are established proved. reproductive threshold systematically calculated as maximum three subthreshold parameters. disease free equilibrium determined to be globally asymptotically stable all values when less than unity. However, greater one, endemic ...

This decade has witnessed a growing interest for solutions of general relativity in AdS spaces. This is due to the celebrated AdS/CFT correspondance conjecture1, relating solutions of general relativity in asymptotically AdS spaces to conformal field theories defined on the conformal boundary of the AdS space. In this context, black hole solutions play an important role2. In more than four dime...

We herein establish an asymptotic representation theorem for locally asymptotically normal quantum statistical models. This enables us to study the efficiency of estimators, such as regular estimators and minimax leading a universal tight lower bound beyond i.i.d. assumption. formulation complements theory contiguity developed in previous paper [Fujiwara Yamagata, Bernoulli 26 (2020) 2105–2141]...

In this paper, we study the dynamic behavior of a four-dimensional prey-predator suggested model four species. The species are two prey and predator species, each them grows logistically. live in diverse habitats have ability group defense. mentioned model, one feeds on prey, top other three existents and, boundedness positive solution, existence local stability all possible equilibrium points,...

In this work, a vaccination model for Chlamydia trachomatis with cost-effectiveness optimal control analysis is developed and analyzed. The disease free equilibrium of shown to be locally asymptotically stable when the reproduction number less than unity. disease-free was proven not globally stable. also undergo phenomenon backward bifurcation associated necessary conditions existence optimalit...

In this paper, a mathematical model for dual protection, incorporating PrEP and Condom use, ART adherence is formulated, based on system of ordinary differential equations analyzed. The results obtained from stability analysis indicate that provided the basic reproductive number less than unity, disease free equilibrium point both locally globally asymptotically stable, while greater endemic ex...