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Global Dynamics of a Predator-Prey Model with a General Growth Rate Function and Carrying Capacity
In this paper, we investigate the global dynamics of a predator-prey model with a general growth rate function and carrying capacity. We prove that...
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Water Wave Impulse Response Function on Moving Point with Constant Speed in Head Wave
Accurate wave prediction is essential for moving ships at forward speed under head wave conditions. To achieve precise short-term wave predictions,...
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On Continuity of Optimal Response Time as a Function of the Initial State of the Controlled System
We investigate the continuity of the optimal response time as a function of the initial state of the controlled system for linear plants with a...
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Improved population mean estimator with exponential function under non-response
In this article, we consider a new family of exponential type estimators for estimating the unknown population mean of the study variable. We propose...
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Dynamical analysis of a general delayed HBV infection model with capsids and adaptive immune response in presence of exposed infected hepatocytes
The aim of this paper is to develop and investigate a novel mathematical model of the dynamical behaviors of chronic hepatitis B virus infection. The...
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Dynamic Behavior of a General Stochastic HIV Model with Virus-to-Cell Infection, Cell-to-Cell Transmission, Immune Response and Distributed Delays
In this paper, we construct a general four-dimensional delayed HIV infection model with virus-to-cell infection, cell-to-cell transmission, CTL...
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On Statistical Properties of the Estimator of Impulse Response Function
In this paper a time-invariant continuous linear system is considered with a real-valued impulse response function which is defined on bounded... -
Surge Function
Figure 22.1 is from the Function Gallery chapter, but we repeat it here as it is central to this chapter. In the chapter our goal is to understand... -
A class of diffusive delayed viral infection models with general incidence function and cellular proliferation
We propose and analyze a new class of three dimensional space models that describes infectious diseases caused by viruses such as hepatitis B virus...
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Countercyclical unemployment benefits: a general equilibrium analysis of transition dynamics
We analyze the general equilibrium effects of countercyclical unemployment benefit policies. Our heterogenous-agent model features costly job search...
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Mathematical Analysis on a General Delayed HBV Model with Capsids and Two Infection Routes
Considering that HBV belongs to the DNA virus family and is hepatotropic, we model the HBV DNA-containing capsids as a compartment. In this paper, a...
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Bidirectional Texture Function Modeling
An authentic material’s surface reflectance function is a complex function of over 16 physical variables, which are unfeasible both to measure and to... -
Existence of positive periodic solutions for a periodic predator–prey model with fear effect and general functional responses
This paper investigates the existence of positive periodic solutions for a periodic predator-prey model with fear effect and general functional...
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Violation of Fluctuation–Response Relation
We address the following question: How does the asymmetry of the interaction affect the fundamental nature of a non-equilibrium physical system? To... -
Modeling the Objective Function
The objective function of a mathematical program is what an optimization procedure uses to select better solutions over poorer solutions. For... -
D-optimal Designs for Multiresponse Linear Models with a Qualitative Factor Under General Covariance Structure
This paper considers a linear regression model involving both quantitative and qualitative factors and an m -dimensional response variable
y . The main... -
Robustness and Sample Complexity of Model-Based MARL for General-Sum Markov Games
Multi-agent reinforcement learning (MARL) is often modeled using the framework of Markov games (also called stochastic games or dynamic games). Most...
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Synchronization of Uncertain General Fractional Unified Chaotic Systems via Finite-Time Adaptive Sliding Mode Control
This chapter employs two adaptive sliding mode control (ASMC) strategies to accomplish finite-time synchronization of uncertain general fractional... -
Tumor containment: a more general mathematical analysis
Clinical and pre-clinical data suggest that treating some tumors at a mild, patient-specific dose might delay resistance to treatment and increase...