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This paper investigates a nonlinear logistic model for age-structured population dynamics. The model incorporates interdependent fertility and mortality functions within a logistic framework, offering insights into stationary solutions and…

Analysis of PDEs · Mathematics 2025-11-24 Dragos-Patru Covei

A first principles approach to the theoretical description of the development of biological forms, from a fertilized egg to a functioning embryo, remains a central challenge to applied physics and theoretical biology. Rather than refer to…

Biological Physics · Physics 2021-04-30 Dominic Gastaldo , David Silverstein

Macro-level modeling is still the dominant approach in many demographic applications because of its simplicity. Individual-level models, on the other hand, provide a more comprehensive understanding of observed patterns; however, their…

Applications · Statistics 2023-12-14 Daniel Ciganda , Nicolas Todd

Low total fertility rates throughout the world have lead to concerns about economic growth, military security, international political power, environment impacts, and quality of life. Overall total fertility rates of today's societies are…

Physics and Society · Physics 2025-11-04 John C. Stevenson

Gradual changes in exploitation, nutrient loading, etc. produce shifts between alternative stable states (ASS) in ecosystems which, quite often, are not smooth but abrupt or catastrophic. Early warnings of such catastrophic regime shifts…

Populations and Evolution · Quantitative Biology 2009-10-07 Ariel Fernandez , Hugo Fort

We characterize the outcomes of a canonical deterministic model for the intergenerational transmission of capital that features differential fertility. A fertility function determines the relationship between parental capital and the number…

Theoretical Economics · Economics 2026-05-28 Francis Dennig , Bassel Tarbush

Frailty models are essential tools in survival analysis for addressing unobserved heterogeneity and random effects in the data. These models incorporate a random effect, the frailty, which is assumed to impact the hazard rate…

Statistics Theory · Mathematics 2025-04-01 Jorge Yslas

Existence of nontrivial nonnegative equilibrium solutions for age structured population models with nonlinear diffusion is investigated. Introducing a parameter measuring the intensity of the fertility, global bifurcation is shown of a…

Analysis of PDEs · Mathematics 2009-07-08 Christoph Walker

This paper sets out a forecasting method that employs a mixture of parametric functions to capture the pattern of fertility with respect to age. The overall level of cohort fertility is decomposed over the range of fertile ages using a…

Applications · Statistics 2019-09-23 Jason Hilton , Erengul Dodd , Jonathan J. Forster , Peter W. F. Smith , Jakub Bijak

This paper considers a nonlinear model for population dynamics with age structure. The fertility rate with respect to age is non constant and has the form proposed by [17]. Moreover, its multiplicative structure and the multiplicative…

General Mathematics · Mathematics 2023-12-06 Dragos-Patru Covei , Traian A. Pirvu , Catalin Sterbeti

In this paper, we provide causal evidence on abortions and risky health behaviors as determinants of mental health development among young women. Using administrative in- and outpatient records from Sweden, we apply a novel grouped…

General Economics · Economics 2022-05-05 Lena Janys , Bettina Siflinger

Species subject to predation and environmental threats commonly exhibit variable periods of population boom and bust over long timescales. Understanding and predicting such behavior, especially given the inherent heterogeneity and…

Populations and Evolution · Quantitative Biology 2024-06-03 Daniel Messenger , Greg Dwyer , Vanja Dukic

This paper considers a two-dimensional logistic model to study populations with two genders. The growth behavior of a population is guided by two coupled ordinary differential equations given by a non-differentiable vector field whose…

Populations and Evolution · Quantitative Biology 2014-06-05 Eduardo Garibaldi , Marcelo Sobottka

We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure, whose birth and death rates can depend both on spatial…

Probability · Mathematics 2024-01-02 Alison M. Etheridge , Thomas G. Kurtz , Ian Letter , Peter L. Ralph , Terence Tsui Ho Lung

Estimating the causal effect of fertility on women's employment is challenging because fertility and labor decisions are jointly determined. The difficulty is amplified in low- and middle-income countries, where longitudinal data are…

Methodology · Statistics 2025-08-25 Lucas Godoy Garraza , Leontine Alkema

Age-specific fertility rates (ASFRs) provide the most extensive record of reproductive change, but their aggregate nature obscures the individual-level behavioral mechanisms that drive fertility trends. To bridge this micro-macro divide, we…

Applications · Statistics 2025-07-25 Daniel Ciganda , Ignacio Campón , Iñaki Permanyer , Jakob H Macke

Several demographic and health indicators, including the total fertility rate (TFR) and modern contraceptive use rate (mCPR), evolve similarly over time, characterized by a transition between stable states. Existing approaches for…

Methodology · Statistics 2025-04-09 Herbert Susmann , Leontine Alkema

The presence of one or more species at some spatial locations but not others is a central matter in ecology. This phenomenon is related to ecological pattern formation. Nonlocal interactions can be considered as one of the mechanisms…

Populations and Evolution · Quantitative Biology 2017-12-29 Ozgur Aydogmus

Several independent observations have suggested that catastrophe transition in microtubules is not a first-order process, as is usually assumed. Recent {\it in vitro} observations by Gardner et al.[ M. K. Gardner et al., Cell {\bf147}, 1092…

Subcellular Processes · Quantitative Biology 2015-07-02 V. Jemseena , Manoj Gopalakrishnan

A microscopic approach to macroeconomic features is intended. A model for macroeconomic behavior under heterogeneous spatial economic conditions is reviewed. A birth-death lattice gas model taking into account the influence of an economic…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Paulette Clippe , Janusz Miśkiewicz , Andrzej Pekalski
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