Numerical approximation of finite life‐span age‐structured population models
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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
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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
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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
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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
Analysis of a nonlinear age-structured tumor cell population model
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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
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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
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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
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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
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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
Hopf bifurcation of an age-structured prey–predator model with Holling type II functional response incorporating a prey refuge
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DOI: 10.1016/j.nonrwa.2019.03.014
Abstract: Abstract In this paper, an age-structured prey–predator model with Holling type II functional response incorporating a prey refuge is constructed. Through applying the method of integrated semigroup and the Hopf bifurcation theory for semilinear equations… read more here.
Keywords: hopf bifurcation; predator; prey refuge; age structured ... See more keywords
Comparison of the performance of age-structured models with few survey indices
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DOI: 10.1093/icesjms/fsy126
Abstract: Comparison of the performance of age-structured models with few survey indices Hiroshi Okamura*, Yuuho Yamashita, Momoko Ichinokawa, and Shota Nishijima Research Center for Fisheries Management, National Research Institute of Fisheries Science, Fisheries Research and Education… read more here.
Keywords: research; structured models; age structured; comparison performance ... See more keywords