The economic burden of HIV extends beyond the individual level and affects communities
and countries. HIV can lead to decreased economic growth due to lost productivity and …

This paper presents a qualitative analysis of a model describing the time and space
dynamics of a virus which migrates driven by chemotaxis. The initial-boundary value …

This paper proposes a conceptual revisiting of population dynamics to include
heterogeneous behaviors of individuals, mutations, and selection. The first part of the paper …

HIV infection is a worldwide health threat, necessitating a multifaceted strategy that includes
prevention, testing, treatment and care. Moreover, it is essential to address the structural and …

This paper investigates the stability and instability of a generalized reaction-diffusion-
advection system, which describes a cross-talk between antigens and immune cells via …

Recently, a long-term model of HIV infection dynamics was developed to describe the entire
time course of the disease. It consists of a large system of ODEs with many parameters, and …

We study the system (⋆){ut= Δ u−∇⋅(u∇ v)− u− f (u) w+ κ, vt= Δ v− v+ f (u) w, wt= Δ w− w+ v,
which models the virus dynamics in an early stage of an HIV infection, in a smooth, bounded …

Abstract The chemotaxis May–Nowak model {u_t= D_u Δ u-∇ ⋅ (uf\left (u\right) ∇ v)-g\left
(u\right) w+ ru, & x ∈ Ω,\quad t> 0,\v_t= D_v Δ v+ g\left (u\right) wv, & x ∈ Ω,\quad t> 0,\w_t …

We consider a deterministic model of HIV infection that involves macrophages as a long-
term active reservoir to describe all three stages of the disease process: the acute stage …

In this paper we study antibiotic-induced C. difficile infection (CDI), caused by the toxin-
producing C. difficile (CD), and implement clinically-inspired simulated treatments in a …