Despite the ongoing preventive measures of vector control, dengue fever still presents outbreaks, and daily commuting people also facilitates its propagation. To contain disease spread after an outbreak has already occurred, local healthcare authorities are compelled to perform insecticide spraying as a corrective measure thus trying avoid massive human infections. Several issues concerned with...

No matching vaccine is immediately available when a novel influenza strain breaks out. Several nonvaccine-related strategies must be employed to control an influenza epidemic, including antiviral treatment, patient isolation, and immigration detection. This paper presents the development and application of two regional dynamic models of influenza with Pontryagin's Maximum Principle to determine...

HIV is one of the major life-threatening viruses that are spreading in the People's Republic of China (China for short). A susceptible-exposed in the latent stage-infectious (SEI) model is established to sketch the evolution of epidemic. The basic reproduction number is defined. By constructing Lyapunov function, globally asymptotical stabilities of the disease-free and endemic equilibria are g...

A central question in drug policy is how control efforts should be divided among enforcement, treatment, and prevention. Of particular interest is how the mix should vary dynamically over the course of an epidemic. Recent work considered how various pairs of these interventions interact. This paper considers all three simultaneously in a dynamic optimal control framework, yielding some surprisi...

<p style='text-indent:20px;'>We consider the susceptible-infected-removed (SIR) epidemic model and apply optimal control to it successfully. Here two inputs are considered, so that infection rate is decreased infected individuals removed. Our approach reduce computation of input stable manifold an invariant in a Hamiltonian system. The situation which target equilibrium has center directi...

In an epidemic, individuals can widely differ in the way they spread infection depending on their age or number of days have been infected for. absence pharmaceutical interventions such as a vaccine treatment, non-pharmaceutical ( e.g . physical social distancing) are essential to mitigate pandemic. We develop original approach identify optimal age-stratified control strategy implement function...