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A Novel Analysis Approach of Uniform Persistence for an Epidemic Model with Quarantine and Standard Incidence Rate
Inspired by the transmission characteristics of the Coronavirus disease 2019 (COVID-19), an epidemic model with quarantine and standard incidence...
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Bifurcation and Stability of a Ricker Host-Parasitoid Model with a Host Constant Refuge and General Escape Function
Motivated by the Ricker model and paper [7], in this paper, we investigate the dynamics of a class of Ricker host-parasitoid models, wherein for each...
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Global Hopf Bifurcation of a Diffusive Modified Leslie–Gower Predator–Prey Model with Delay and Michaelis–Menten Type Prey Harvesting
In this paper, we investigate the global Hopf bifurcation of a diffusive modified Leslie–Gower predator–prey model with delay and Michaelis–Menten...
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Periodic and almost periodic solutions for a non-autonomous respiratory disease model with a lag effect
This paper studies a kind of non-autonomous respiratory disease model with a lag effect. First of all, the permanence and extinction of the system...
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Existence and Attractivity Results for Hilfer Fractional Differential Equations
We present some results on the existence of attracting solutions of some fractional differential equations of the Hilfer type. The results on the...
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Global dynamics of a time-delayed nonlocal reaction-diffusion model of within-host viral infections
In this paper, we study a time-delayed nonlocal reaction-diffusion model of within-host viral infections. We introduce the basic reproduction number
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Global dynamics of a Nonlocal Periodic Reaction–Diffusion Model of Chikungunya Disease
This paper is devoted to the study of a nonlocal reaction–diffusion model of Chikungunya disease with periodic time delays. We establish two...
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Finite-time attractivity for semilinear tempered fractional wave equations
We prove the existence and finite-time attractivity of solutions to semilinear tempered fractional wave equations with sectorial operator and...
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A Reaction-Diffusion Model with Spatially Inhomogeneous Delays
Motivated by population growth in a heterogeneous environment, this manuscript builds a reaction-diffusion model with spatially dependent parameters....
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Non-autonomous Differential Systems with Delays: A Global Attraction Analysis
In this paper, we derive criteria of global attractivity of a (possibly constant) positive periodic solution in non-autonomous systems of delay...
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Global attractor and threshold dynamics of a reaction–diffusion population model in a polluted environment
This paper describes a population model in a polluted environment with heterogeneous parameters and a reaction–diffusion mechanism. We establish the...
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Spontaneous Infection and Periodic Evolving of Domain in a Diffusive SIS Epidemic Model
In this paper, we consider a susceptible-infective-susceptible (SIS) reaction-diffusion epidemic model with spontaneous infection and logistic source...
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Deterministic Neural Networks Optimization from a Continuous and Energy Point of View
Getting an efficient neural network can be a very difficult task for engineers and researchers because of the huge number of hyperparameters to tune...
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Threshold Dynamics of a Degenerate Diffusive HBV Infection Model with DNA-Containing Capsids in Heterogeneous Environment
This paper is concerned with threshold dynamics of a degenerate diffusive HBV infection model with DNA-containing capsids in heterogeneous...
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Input-to-State Stability
In the previous chapter, we have analyzed well-posedness and properties of reachability sets for nonlinear control systemsControl systemnonlinear of...
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A local input-to-state stability result w.r.t. attractors of nonlinear reaction–diffusion equations
We establish the local input-to-state stability of a large class of disturbed nonlinear reaction–diffusion equations w.r.t. the global attractor of...
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Output Feedback Stabilization of Non-uniformly Observable Systems
AbstractStabilizing the state of a system relying only on the knowledge of a measured output is a classical control theory problem. Designing a...
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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...
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The ISS framework for time-delay systems: a survey
At the occasion of Eduardo D. Sontag’s 70th birthday, we provide here an overview of the tools available to study input-to-state stability (ISS) and...
