Numerical approximation of finite life‐span age‐structured population models
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7136
Abstract: Considering unbounded mortality rates causes difficulties in the numerical simulation of finite life‐span population models. In this work, a suitable numerical technique is introduced in order to approximate the density solution of this kind of… read more here.
Keywords: age structured; finite life; population models; structured population ... See more keywords
Bifurcation analysis of an age‐structured epidemic model with two staged‐progressions
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7508
Abstract: In this paper, we develop an age‐structured model with two infectious stages to study the effect of infection age on dynamic properties. By reformulating the model as a non‐densely defined Cauchy problem and applying theorem… read more here.
Keywords: age structured; age; bifurcation analysis; model ... See more keywords
Numerical approximation of basic reproduction number for an age‐structured HIV infection model with both virus‐to‐cell and cell‐to‐cell transmissions
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7586
Abstract: The basic reproduction number (R0) often cannot be explicitly computed when dealing with continuously age‐structured epidemic models. In this paper, we numerically compute R0 of a PDE model for a human immunodeficiency virus (HIV) infection,… read more here.
Keywords: age structured; reproduction number; model; cell ... See more keywords
An age-structured epidemic model for the demographic transition
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-018-1253-7
Abstract: In this paper, we formulate an age-structured epidemic model for the demographic transition in which we assume that the cultural norms leading to lower fertility are transmitted amongst individuals in the same way as infectious… read more here.
Keywords: model demographic; age structured; epidemic model; model ... See more keywords
Interaction between harvesting intervention and birth perturbation in an age-structured model
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-025-02242-9
Abstract: An age-structured fish model with birth and harvesting pulses is established, where birth pulses are responsible for increasing the amount of fish due to the constant multiple placement of juveniles, and harvesting pulses describe the… read more here.
Keywords: age structured; birth; harvesting intervention; birth perturbation ... See more keywords
Comparison Principles and Asymptotic Behavior of Delayed Age-Structured Neuron Models
Sign Up to like & getrecommendations! Published in 2025 at "Acta Applicandae Mathematicae"
DOI: 10.1007/s10440-025-00746-6
Abstract: In the context of neuroscience the elapsed-time model is an age-structured equation that describes the behavior of interconnected spiking neurons through the time since the last discharge, with many interesting dynamics depending on the type… read more here.
Keywords: age structured; time; principles asymptotic; asymptotic behavior ... See more keywords
Analysis of a nonlinear age-structured tumor cell population model
Sign Up to like & getrecommendations! Published in 2019 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-019-05190-4
Abstract: A nonlinear age-structured tumor cell population model is presented and analyzed. The population is divided into proliferating and quiescent cell compartments. The nonlinearity of the birth rate is designed to halt population’s exponential growth and… read more here.
Keywords: tumor cell; population; structured tumor; age structured ... See more keywords
Optimal Control Studies on Age Structured Modeling of COVID-19 in Presence of Saturated Medical Treatment of Holling Type III
Sign Up to like & getrecommendations! Published in 2022 at "Differential Equations and Dynamical Systems"
DOI: 10.1007/s12591-022-00593-z
Abstract: COVID-19 pandemic has caused the most severe health problems to adults over 60 years of age, with particularly fatal consequences for those over 80. In this case, age-structured mathematical modeling could be useful to determine… read more here.
Keywords: age structured; age; usepackage; optimal control ... See more keywords
A mathematical model of tree harvesting in age-structured forests subject to beetle infestations
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0516-z
Abstract: In this paper, we investigate a mathematical model for age-structured forest–beetle interactions that includes harvesting of trees. The aim is to broaden the understanding of the synergistic effects of harvesting and insect infestation on the… read more here.
Keywords: state; age; age structured; trees older ... See more keywords
Chebyshev Cardinal Functions for Solving Age-Structured Population Models
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-016-0236-x
Abstract: In this paper, we use Chebyshev cardinal functions for solving a nonlinear age-structured population models. This partial integro-differential equation includes an integral equation as a boundary condition. The proposed method which approximates the highest derivative… read more here.
Keywords: structured population; population models; chebyshev cardinal; age structured ... See more keywords
Age-structured model for COVID-19: Effectiveness of social distancing and contact reduction in Kenya
Sign Up to like & getrecommendations! Published in 2020 at "Infectious Disease Modelling"
DOI: 10.1016/j.idm.2020.10.012
Abstract: Coronavirus disease 2019 is caused by severe acute respiratory syndrome coronavirus 2. Kenya reported its first case on March 13, 2020 and by March 16, 2020 she instituted physical distancing strategies to reduce transmission and… read more here.
Keywords: reduction; distancing; age; age structured ... See more keywords