[图书][B] Modeling and inverse problems in the presence of uncertainty

HT Banks, S Hu, WC Thompson - 2014 - books.google.com
Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—
including the authors' own substantial projects—on uncertainty propagation and …

The economics of epidemics and contagious diseases: An introduction

R Boucekkine, A Carvajal, S Chakraborty… - Journal of Mathematical …, 2021 - Elsevier
In December 2019, medical professionals hypothesized that clusters of a new respiratory
disease were developing in the Chinese city of Wuhan. On January 3rd, 2020, the World …

Analysis of optimal lockdown in integral economic–epidemic model

N Hritonenko, Y Yatsenko - Economic Theory, 2024 - Springer
We analyze the optimal lockdown in an economic–epidemic model with realistic
infectiveness distribution. The model is described by Volterra integral equations and …

Model with transmission delays for COVID‐19 control: Theory and empirical assessment

N Hritonenko, O Yatsenko… - Journal of Public …, 2022 - Wiley Online Library
The paper focuses on modeling of public health measures to control the COVID‐19
pandemic. The authors suggest a flexible integral model with distributed lags, which …

Verification results for age-structured models of economic–epidemics dynamics

G Fabbri, F Gozzi, G Zanco - Journal of Mathematical Economics, 2021 - Elsevier
In this paper we propose a macro-dynamic age-structured set-up for the analysis of
epidemics/economic dynamics in continuous time. The resulting optimal control problem is …

Optimal harvesting of diffusive models in a nonhomogeneous environment

E Braverman, L Braverman - Nonlinear analysis: theory, methods & …, 2009 - Elsevier
We study the optimal harvesting strategy for populations whose dynamics is described by
reaction-diffusion equations. The production function can be of logistic, Gilpin–Ayala or …

Regional control for a spatially structured malaria model

S Aniţa, V Capasso, G Dimitriu - Mathematical Methods in the …, 2019 - Wiley Online Library
A two‐component reaction‐diffusion system to describe the spread of malaria is considered.
The model describes the dynamics of the infected mosquitoes and of the infected humans …

The structure of optimal time-and age-dependent harvesting in the Lotka–McKendrik population model

N Hritonenko, Y Yatsenko - Mathematical biosciences, 2007 - Elsevier
The paper analyzes optimal harvesting of age-structured populations described by the Lotka–
McKendrik model. It is shown that the optimal time-and age-dependent harvesting control …

Optimal harvesting for periodic age-dependent population dynamics with logistic term

LI Aniţa, S Aniţa, V Arnăutu - Applied Mathematics and Computation, 2009 - Elsevier
We prove an asymptotic behavior result for an age-dependent population dynamics with
logistic term and periodic vital rates. We investigate next an optimal harvesting problem …

Regional control in optimal harvesting of population dynamics

S Aniţa, V Capasso, AM Moşneagu - Nonlinear Analysis: Theory, Methods …, 2016 - Elsevier
Here we investigate the regional control for some optimal harvesting problems related to
population dynamics; namely we consider the problem of maximizing the profit for spatially …