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Coherent extrapolation of mortality rates at old ages applied to long term care
In an insurance context, Long-Term Care (LTC) products cover the risk of permanent loss of autonomy, which is defined by the impossibility or...
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Dynamics and bifurcation analysis of a state-dependent impulsive SIS model
Recently, considering the susceptible population size-guided implementations of control measures, several modelling studies investigated the global...
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Valuation of mixed life insurance contracts under stochastic correlated mortality and interest rates
The need to find a good balance between attractive returns and long-term guarantees has motivated the development of hybrid life insurance products....
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A Sterility–Mortality Tolerance Trade-Off Leads to Within-Population Variation in Host Tolerance
While experimental studies have demonstrated within-population variation in host tolerance to parasitism, theoretical studies rarely predict for...
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A neural network approach for the mortality analysis of multiple populations: a case study on data of the Italian population
A Neural Network (NN) approach for the modelling of mortality rates in a multi-population framework is compared to three classical mortality models....
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Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality
This study explores the coevolutionary dynamics of host-pathogen interaction based on a susceptible-infected population model with density-dependent...
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Efficient use of data for LSTM mortality forecasting
We consider a simple long short-term memory (LSTM) neural network extension of the Poisson Lee-Carter model, with a particular focus on different...
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Bazykin’s Predator–Prey Model Includes a Dynamical Analysis of a Caputo Fractional Order Delay Fear and the Effect of the Population-Based Mortality Rate on the Growth of Predators
In this paper, we investigate a system of two differential equations of fractional order for the fear effect in prey-predator interactions, in which...
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Mortality by socio-economic class and its impact on the retirement schemes: how to render the systems fairer?
Many OECD countries have addressed the issue of increased longevity by mainly increasing the retirement age. However, this kind of reforms may lead...
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Practical partial equilibrium framework for pricing of mortality-linked instruments in continuous time
This work considers a partial equilibrium approach for pricing longevity bonds in a stochastic mortality intensity setting. Thus, the pricing...
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Threshold Dynamics for Diffusive Age-Structured Model over Unbounded Domains: Age-Dependent Death and Diffusion Rates
The global dynamics of the typical age-structured model with age-dependent mortality and diffusion rates on unbounded domains have been established....
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On periodic solutions of a discrete Nicholson’s dual system with density-dependent mortality and harvesting terms
In this study, we discuss the existence of positive periodic solutions of a class of discrete density-dependent mortal Nicholson’s dual system with...
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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...
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A climate-based model for tick life cycle: positive semigroup theory on Cauchy problem approach
The distribution of ticks is essentially determined by the presence of climatic conditions and ecological contexts suitable for their survival and...
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Recurrent Neural Networks
This chapter considers recurrent neural (RN) networks. These are special network architectures that are useful for time-series modeling, e.g.,...
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A Model of Dengue Transmission
This chapter combines a dengue transmission model and dengue notification records from three cities in Brazil, Colombia, and México to analyze the...
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Specification and Estimation of a Biometric Model by Using Logistic Regression for Measuring Child Mortality
Children are the most valuable assets of the Nation. The social and economic development of the Nation has been based on welfare of the children in...
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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...
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Stability analysis of a state-dependent delay differential equation for cell maturation: analytical and numerical methods
We consider a mathematical model describing the maturation process of stem cells up to fully mature cells. The model is formulated as a differential...
