8 citations · 42 across the 29 of their papers we have counts for
29 papers
Long-time dynamics of a parabolic-ODE SIS epidemic model with saturated incidence mechanism
Rui Peng, Rachidi Salako, Yixiang Wu
In this paper, we investigate a parabolic-ODE SIS epidemic model with no-flux boundary conditions in a heterogeneous environment. The model incorporates a saturated infection mecha…
Spatial profiles of a reaction-diffusion epidemic model with nonlinear incidence mechanism and constant total population
Rui Peng, Rachidi B Salako, Yixiang Wu
This paper examines a susceptible-infected-susceptible (SIS) epidemic reaction-diffusion model with no-flux boundary conditions and constant total population. The infection mechani…
Spatial profiles of a reaction-diffusion epidemic model with nonlinear incidence mechanism and varying total population
Rui Peng, Rachidi B. Salako, Yixiang Wu
This paper considers a susceptible-infected-susceptible (SIS) epidemic reaction-diffusion model with no-flux boundary conditions and varying total population. The interaction of th…
Dynamics of solutions to a multi-patch epidemic model with a saturation incidence mechanism
Yawo Ezunkpe, Cynthia T. Nnolum, Rachidi B. Salako +1
This study examines the behavior of solutions in a multi-patch epidemic model that includes a saturation incidence mechanism. When the fatality rate due to the disease is not null,…
Global dynamics of a two-stage structured diffusive population model in time-periodic and spatially heterogeneous environments
H. M. Gueguezo, T. J. Doumatè, R. B. Salako
This work examines the global dynamics of classical solutions of a two-stage (juvenile-adult) reaction-diffusion population model in time-periodic and spatially heterogeneous envir…
On degenerate reaction-diffusion epidemic models with mass action or standard incidence mechanism
Rachidi Salako, Yixiang Wu
In this paper, we consider reaction-diffusion epidemic models with mass action or standard incidence mechanism and study the impact of limiting population movement on disease trans…
Global dynamics of epidemic network models via construction of Lyapunov functions
Rachidi Salako, Yixiang Wu
In this paper, we study the global dynamics of epidemic network models with standard incidence or mass-action transmission mechanism, when the dispersal of either the susceptible o…
On the dynamics of an epidemic patch model with mass-action transmission mechanism and asymmetric dispersal patterns
Rachidi Salako, Yixiang Wu
This paper examines an epidemic patch model with mass-action transmission mechanism and asymmetric connectivity matrix. Results on the global dynamics of solutions and the spatial…
Competition-exclusion and coexistence in a two-strain SIS epidemic model in patchy environments
Jonas T. Doumatè, Tahir B. Issa, Rachidi B. Salako
This work examines the dynamics of solutions of a two-strain SIS epidemic model in patchy environments. The basic reproduction number is introduced, and sufficient…
Multiplicity of endemic equilibria for a diffusive SIS epidemic model with mass-action
Keoni Castellano, Rachidi B. Salako
We study a diffusive SIS epidemic model with the mass-action transmission mechanism and show, under appropriate assumptions on the parameters, the existence of multiple endemic equ…
Asymptotic limits of the principal spectrum point of a nonlocal dispersal cooperative system and application to a two-stage structured population model
Maria A. Onyido, Rachidi B. Salako, Markjoe O. Uba +1
This work examines the limits of the principal spectrum point, , of a nonlocal dispersal cooperative system with respect to the dispersal rates. In particular, we provide prec…
Analysis of a time-delayed HIV/AIDS epidemic model with education campaigns
Dawit Denu, Sedar Ngoma, Rachidi B. Salako
We consider a time-delayed HIV/AIDS epidemic model with education dissemination and study the asymptotic dynamics of solutions as well as the asymptotic behavior of the endemic equ…
Traveling wave solutions for two species competitive chemotaxis systems
T. B. Issa, R. B Salako, W. Shen
In this paper, we consider two species chemotaxis systems with Lotka-Volterra competition reaction terms. Under appropriate conditions on the parameters in such a system, we establ…
Entire Solutions of Diffusive Lotka-Volterra System
King-Yeung Lam, Rachidi B. Salako, Qiliang Wu
This work is concerned with the existence of entire solutions of the diffusive Lotka-Volterra competition system \begin{equation}\label{eq:abstract} \begin{cases} u_{t}= u_{xx} + u…
Existence of traveling wave solutions of a deterministic vector-host epidemic model with direct transmission
Dawit Denu, Sedar Ngoma, Rachidi B. Salako
We consider an epidemic model with direct transmission given by a system of nonlinear partial differential equations and study the existence of traveling wave solutions. When the b…
Dynamics of a parabolic-ODE competition system in heterogeneous environments
Yuan Lou, Rachidi B. Salako
This work is concerned with the large time behavior of the solutions of a parabolic-ODE hybrid system, modeling the competition of two populations which are identical except their…
Can chemotaxis speed up or slow down the spatial spreading in parabolic-elliptic Keller-Segel systems with logistic source?
Rachidi B. Salako, Wenxian Shen, Shuwen Xue
The current paper is concerned with the spatial spreading speed and minimal wave speed of the following Keller-Segel chemoattraction system, \begin{equation}\label{abstract-eq1} \b…
Traveling waves of a full parabolic attraction-repulsion chemotaxis systems with logistic sources
R. B. Salako
In this paper, we study traveling wave solutions of the chemotaxis systems \begin{equation} \begin{cases} u_{t}=Δu -χ_1\nabla( u\nabla v_1)+χ_2 \nabla(u\nabla v_2 )+ u(a -b u), \qq…
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on . III. Transition fronts
R. B. Salako, W. Shen
The current work is the third of a series of three papers devoted to the study of asymptotic dynamics in the space-time dependent logistic source chemotaxis system, $$ \begin{cases…
Long time behavior of random and nonautonomous Fisher-KPP equations. Part II. Transition fronts
Rachidi B. Salako, Wenxian Shen
In the current series of two papers, we study the long time behavior of the following random Fisher-KPP equation $$ u_t =u_{xx}+a(θ_tω)u(1-u),\quad x\in\R, \eqno(1) $$ where $ω\inΩ…
Long time behavior of random and nonautonomous Fisher-KPP equations. Part I. Stability of equilibria and spreading speeds
Rachidi B. Salako, Wenxian Shen
In the current series of two papers, we study the long time behavior of the following random Fisher-KPP equation where ,…
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on . II. Existence, uniqueness, and stability of strictly positive entire solutions
Rachidi B. Salako, Wenxian Shen
This work is the second of the series of three papers devoted to the study of asymptotic dynamics in the chemotaxis system with space and time dependent logistic source,$$\partial_…
Parabolic-elliptic chemotaxis model with space-time dependent logistic sources on . I. Persistence and asymptotic spreading
Rachidi B. Salako, Wenxian Shen
The current series of three papers is concerned with the asymptotic dynamics in the following chemotaxis model $$\partial_tu=Δu-χ\nabla(u\nabla v)+u(a(x,t)-ub(x,t))\ ,\ 0=Δv-λv+μu…
Existence of Traveling wave solutions to parabolic-elliptic-elliptic chemotaxis systems with logistic source
Rachidi B. Salako, Wenxian Shen
We study traveling wave solutions of the following chemotaxis systems,$$\begin{cases}u_t=Δu-χ_1\nabla(u\nabla v_1)+χ_2\nabla(u\nabla v_2)+u(a-bu),\ x\in\mathbb{R}^N\\ 0=Δv_1-λ_1v_1…