A model with differential susceptibility, differential infectivity (DS-DI), and age of infection is formulated in this paper. The susceptibles are divided into n groups according to their susceptibilities. The infectives are divided into m groups according to their infectivities. The total population size is assumed constant. Formula for the reproductive number is derived so that if the reprodu...

This paper presents an integrated parameter estimator and trajectory tracking controller for a hovercraft. A generic parameter estimator for time-varying systems linear in the parameters is derived and then particularized for the dynamic model of the vehicle at hand. A trajectory tracking controller is proposed for the nonholonomic hovercraft, which renders the tracking error system exponential...

We consider a class of encoders for constrained systems, which we call block-typedecodable encoders. For a constrained system presented by a deterministic graph, we design a blocktype-decodable encoder by selecting a subset of states of the graph to be used as encoder states. Such a subset is known as a set of principal states. Our goal is to find an optimal set of principal states, i.e., a set...

ẋ = f (t, x) + g(t, x)u (1.1) x ∈ Rn, t 0, u ∈ U where f (t, x) and g(t, x) are C0 mappings on R+ × Rn , locally Lipschitz with respect to x ∈ Rn , with f (t, 0) = 0 for all t 0 and U ⊆ Rm is a convex set that contains 0 ∈ Rm . Our objective is to give necessary and sufficient conditions for the existence of a C0 function k : R+ × Rn → U , with k(·, 0) = 0, k(t, x) being locally Lipschitz with ...

This paper focuses on a strongly coupled specific ecological system consisting of two prey species and one predator. We explore unique positive equilibrium solution the that is globally asymptotically stable. Additionally, we show this remains locally linearly stable, even in presence diffusion. means does not follow classical Turing instability. However, it becomes unstable only when cross-dif...