Search
Search Results
-
Input-to-State Stability of Infinite Networks
Stability analysis and control of ODE systems remain the backbone of much of systems theory.
-
Stability analysis for a class of semilinear nonlocal evolution equations
Our aim is to analyze some sufficient conditions ensuring the global solvability and stability of solutions to a class of nonlocal partial...
-
The asymptotic analysis of a vector–host epidemic model with finite growing domain
To study the impact of vector’s habitat expansion and mobility of hosts on the geographic spread of diseases, we propose a diffusive vector–host...
-
Niche differentiation in the light spectrum promotes coexistence of phytoplankton species: a spatial modelling approach
The paradox of the plankton highlights the apparent contradiction between Gause’s law of competitive exclusion and the observed diversity of...
-
Intra- and Inter-Specific Competitions of Two Stage-Structured Species in a Patchy Environment
With metamorphosis or not, creatures have varying ability in their different life stages to compete for resource, space or mating. Interaction of...
-
Dynamics of a linear source epidemic system with diffusion and media impact
This paper studies an impact of media epidemic system with diffusion and linear source. We first derive the uniform bounds of solutions to impact on...
-
Stability Analysis of a New Differential-Difference Model Applied to the Pre-exposure Prophylaxis (PrEP) Effect on the Spread of HIV
In this research, an examination is conducted on a model derived from the inquiry into the efficacy of HIV Pre-Exposure Prophylaxis (PrEP) within...
-
Impact of the impulsive releases and Allee effect on the dispersal behavior of the wild mosquitoes
We develop a mathematical model of the wild mosquito dispersal with impulsive releases of the sterile mosquitoes and obtain a threshold condition...
-
Semi-Dynamical Systems Generated by Autonomous Caputo Fractional Differential Equations
An autonomous Caputo fractional differential equation of order α ∈ (0,1) in a finite dimensional space whose vector field satisfies a global...
-
Dynamics of Phytoplankton Populations
In this chapter we analyze reaction-diffusion-advection models for the growth of single or multiple phytoplankton species in a eutrophic, vertical...
-
On cognitive epidemic models: spatial segregation versus nonpharmaceutical interventions
Fick’s law and the Fokker–Planck law of diffusion are applied to manifest the cognitive dispersal of individuals in two reaction-diffusion SEIR...
-
From the Street to the World: Situating Urban Social Networks in Multi-scalar Relations of Power
Marseille is often associated with ethnically-marked groups and/or impoverished segregated neighbourhoods. In this chapter, I argue that such...
-
Introduction
This first chapter puts forward the potential and arguably necessity of employing topological methods when studying nonlinear dynamical control...
-
Modelling the fear effect in a two-species predator–prey system under the influence of toxic substances
Effect of anti-predator defense due to fear of predator felt by prey and effect of toxic substance released by external sources on prey–predator...
-
A systematic study of autonomous and nonautonomous predator–prey models for the combined effects of fear, refuge, cooperation and harvesting
In the present study, we investigate the roles of fear, refuge and hunting cooperation on the dynamics of a predator–prey system, where the predator...
-
Challenges to Higher Education at the Start of the Pandemic with a Comparative Focus on the UK and Hong Kong
This chapter examines the Covid impact on university students in the UK and Hong Kong and assesses the inequalities at stake concerning well-being...
-
MIDA Metropolitan Impacts and Drivers Assessment
This paper introduces MIDA – Metropolitan Impacts & Drivers Assessment – a dynamic multi-scale metrics-to-grid map protocol to gather, process and...
-
Dynamics of One-Dimensional Maps and Gurtin–Maccamy’s Population Model. Part I. Asymptotically Constant Solutions
Motivated by the recent work by Ma and Magal [Proc. Amer. Math. Soc. (2021); https://doi.org/10.1090/proc/15629 ] on the global stability property of...
-
Identifying candidate host plants for trap crop** against Drosophila suzukii in vineyards
The spotted wing drosophila (SWD), Drosophila suzukii Matsumura (Diptera: Drosophilidae), is a serious pest in vineyards where it is difficult to...
-
Dynamical analysis of an age-space structured malaria epidemic model
In this paper, we will revisit the model studied in Lou and Zhao (J Math Biol 62:543–568, 2011), where the model takes the form of a nonlocal and...
