Search
Search Results
-
The effects of diffusion on the dynamics of a Lotka-Volterra predator-prey model with a protection zone
This paper is concerned with the dynamics of a diffusive predator-prey model with a protection zone under homogeneous Neumann boundary conditions. By...
-
Complex Dynamics in a General Diffusive Predator–Prey Model with Predator Maturation Delay
We formulate and analyze a general diffusive predator–prey system with predator maturation delay. Global asymptotic stability of the predator-free...
-
Uniqueness of entire ground states for the fractional plasma problem
We establish uniqueness of vanishing radially decreasing entire solutions, which we call ground states , to some semilinear fractional elliptic...
-
Nonlinear Dynamics in an SIR Model with Ratio-Dependent Incidence and Holling Type III Treatment Rate Functions
This article proposes and analyzes a Susceptible-Infective-Recovered (SIR) infectious disease model. Here we consider a ratio-dependent incidence...
-
Coexistence States of a Ratio-Dependent Predator-Prey Model with Nonlinear Diffusion
In this work, we consider a two species ratio-dependent food chain model with nonlinear diffusion terms. Using bifurcation theory and a priori...
-
Dissipativity in Economic Model Predictive Control: Beyond Steady-State Optimality
This chapter provides a concise survey on different dissipativity conditions that have appeared in the literature on economic model predictive...
-
Nonlinear dynamics of an SIRS model with ratio-dependent incidence and saturated treatment function
This article proposes and analyzes an SIRS infectious disease model with ratio-dependent incidence rate and saturated treatment rate functions. The...
-
Steady Euler Flows on the 3-Sphere and Other Sasakian 3-Manifolds
We present new steady Euler solutions on the (round) 3-sphere, that bifurcate from an ansatz proposed in [
11 ], showing that these previously known... -
A Note on the Linear Stability of the Steady State of a Nonlinear Renewal Equation with a Parameter
In this article we consider a variant of age-structured nonlinear Lebowitz-Rubinow equation. We study the linear stability of this equation near the...
-
Infinitely many positive solutions for an iterative system of fractional BVPs with multistrip Riemann–Stieltjes integral boundary conditions
In this paper, the existence of infinitely many positive solutions for an iterative system of singular fractional order boundary value problems...
-
Multistationarity in Cyclic Sequestration-Transmutation Networks
We consider a natural class of reaction networks which consist of reactions where either two species can inactivate each other (i.e., sequestration),...
-
Arbitrary High Order WENO Finite Volume Scheme with Flux Globalization for Moving Equilibria Preservation
In the context of preserving stationary states, e.g. lake at rest and moving equilibria, a new formulation of the shallow water system, called flux...
-
Lagrange-Projection Exactly Well-Balanced Finite Volume Schemes for the Ripa Model
In this work we propose a strategy to numerically solve the Ripa model by applying the Lagrange-projection approach. We design both first and second...
-
-
Effects of Spatial Heterogeneity and Homogeneity on an S-K-T Competition Model
In this paper, we study the effects of spatial heterogeneity and homogeneity of intrinsic growth rates on an S-K-T competition system. A good...
-
A New Decomposition of the Graph Laplacian and the Binomial Structure of Mass-Action Systems
We provide a new decomposition of the Laplacian matrix (for labeled directed graphs with strongly connected components), involving an invertible core...
-
On Linear Dam** Around Inhomogeneous Stationary States of the Vlasov-HMF Model
We study the dynamics of perturbations around an inhomogeneous stationary state of the Vlasov-HMF (Hamiltonian Mean-Field) model, satisfying a...
-
Modelling the Impact of NETosis During the Initial Stage of Systemic Lupus Erythematosus
The development of autoimmune diseases often takes years before clinical symptoms become detectable. We propose a mathematical model for the immune...
-
Age-dependent immunity effect in a cholera model with double transmission modes: Hopf bifurcation analysis
This paper focuses on a cholera model with temporary immunity and recovery-age. We first investigate the existence of unique solution to the model by...
-
Population dynamics in river networks: analysis of steady states
We study the population dynamics of an aquatic species in a river network. The habitat is viewed as a binary tree-like metric graph with the...
