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The Interplay Between Dispersal and Allee Effects in a Two-Patch Discrete-Time Model
We consider a discrete-time two-patch model with dispersal and a nonlinear non-monotone growth rate suggesting that the population in a patch may... -
Dynamics and Profiles of a Diffusive Cholera Model with Bacterial Hyperinfectivity and Distinct Dispersal Rates
This paper provides an analysis on global dynamics of a diffusive cholera model. We formulate the model by a reaction–diffusion system with...
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Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model
In this paper we consider the stochastic six-vertex model on a cylinder with arbitrary initial data. First, we show that it exhibits a limit shape in...
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Rotating square tessellations enabled stretchable and adaptive curved display
Curved displays can adjust their shape to accommodate different objects and are used in electronics and decorative lighting. Due to the immutable...
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Viral infection dynamics with immune chemokines and CTL mobility modulated by the infected cell density
We study a viral infection model incorporating both cell-to-cell infection and immune chemokines. Based on experimental results in the literature, we...
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A complete result on the Lyapunov stability of Caputo fractional-order nonautonomous systems by the comparison method
As the other alternative method than the Lyapunov direct method for studying the Lyapunov stability of Caputo fractional-order nonautonomous systems,...
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Global analysis of an age-structured tuberculosis model with an application to Jiangsu, China
Diagnostic delay for TB infected individuals and the lack of TB vaccines for adults are the main challenges to achieve the goals of WHO by 2050. In...
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Sequential Monte Carlo Squared for Agent-Based Models
This chapter proposes a combination of two sequential Monte Carlo algorithms for Bayesian estimation of agent-based models (ABM), one for the hidden... -
Accounting for Socio-Economic Context in Quantifying the Attractive and Repellent Influence of Built Environment on Firearms Violence in Multiple Cities
ObjectivesThe objective of this paper is to improve understanding of the spatial relationship of the built environment (BE) with urban gun crime and...
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Syrphid fly response to urban heat islands varies with functional traits
Syrphid flies (Diptera, Syrphidae) play important ecological roles as pollinators, pest control agents, and decomposers. Communities are influenced...
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Global Threshold Dynamics of an Infection Age-Space Structured HIV Infection Model with Neumann Boundary Condition
This paper aims to the investigation of the global threshold dynamics of an infection age-space structured HIV infection model. The model is...
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Deductive Stability Proofs for Ordinary Differential Equations
Stability is required for real world controlled systems as it ensures that those systems can tolerate small, real world perturbations around their... -
Indecomposable Coupled Map Lattices with Non–unique Phase
A compact topologically mixing uniformly hyperbolic attractor for a diffeomorphism of a finite-dimensional manifold with Hölder continuous derivative... -
On the pitchfork bifurcation for the Chafee–Infante equation with additive noise
We investigate pitchfork bifurcations for a stochastic reaction diffusion equation perturbed by an infinite-dimensional Wiener process. It is...
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Conclusion and Outlook
In this book, we have developed the ISS theory for systems of ordinary differential equations, covering both fundamental theoretical results and... -
Study of a delayed mosquito population suppression model with stage and sex structure
In this paper, we develop a new two-sex mosquito population suppression model including stage structure and a reproduction delay. Sterile mosquitoes...
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The Application of City-Building Games in Spatial Planning
This chapter focuses on the description of a case study on the use of a computer game for geoparticipation of citizens in spatial planning. The... -
Spatial dynamics of a viral infection model with immune response and nonlinear incidence
Incorporating humoral immunity, cell-to-cell transmission and degenerated diffusion into a virus infection model, we investigate a viral dynamics...
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Effects of fear, refuge and hunting cooperation in a seasonally forced eco-epidemic model with selective predation
In ecological systems, the fear of predation risk may assert privilege to the prey species by restricting their exposure to potential predators, and...
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Input-to-State Stability of Infinite Networks
Stability analysis and control of ODE systems remain the backbone of much of systems theory.