scholarly journals Optimal contraception control for a nonlinear population model with size structure and a separable mortality

2016 ◽  
Vol 21 (10) ◽  
pp. 3603-3618 ◽  
Author(s):  
Rong Liu ◽  
Feng-Qin Zhang ◽  
Yuming Chen
Keyword(s):  
Population Model ◽  
Size Structure ◽  
Contraception Control

Optimal Contraception Control for a Nonlinear Vermin Population Model with Size-Structure

2017 ◽  
Vol 79 (2) ◽  
pp. 231-256
Author(s):  
Rong Liu ◽  
Guirong Liu
Keyword(s):  
Population Model ◽  
Size Structure ◽  
Contraception Control

Optimal contraception control for a size-structured population model with extra mortality

2018 ◽  
Vol 99 (4) ◽  
pp. 658-671
Author(s):  
Rong Liu ◽  
Guirong Liu
Keyword(s):  
Population Model ◽  
Structured Population Model ◽  
Structured Population ◽  
Contraception Control

Measure-valued solutions to size-structured population model of prey controlled by optimally foraging predator harvester

2019 ◽  
Vol 29 (09) ◽  
pp. 1657-1689
Author(s):  
Jȩdrzej Jabłoński ◽  
Dariusz Wrzosek
Keyword(s):  
Population Model ◽  
Numerical Solutions ◽  
Size Structure ◽  
Prey Size ◽  
Mortality Rates ◽  
Net Energy ◽  
Structured Population Model ◽  
Size Dependent ◽  
Structured Population ◽  
Net Energy Intake

Radon-measure-valued solutions to a size structured population model of the McKendrick–von Foerster-type are analytically studied under general assumptions on individuals’ growth, birth and mortality rates. The model is used to describe changes in size structure of zooplankton when prey size-dependent mortality rate is a consequence of a planktivorous fish foraging in low prey-density environment (commonly found in predator-controlled populations). The model of foraging is based on the optimization of the rate of net energy intake as a function of predator speed. Mortality is defined as an operator on a metric space of nonnegative Radon measures equipped with the bounded Lipschitz distance. The solutions to the size structured model of zooplankton population are studied analytically and numerically. Numerical solutions (derived using the Escalator Boxcar Train (EBT)-like schema), in particular those starting from Dirac deltas corresponding to distinct cohorts, exhibit regularization in time and convergence to the same stationary state.

scholarly journals Optimal birth control problems for a nonlinear vermin population model with size-structure

2017 ◽  
Vol 449 (1) ◽  
pp. 265-291 ◽  
Author(s):  
Rong Liu ◽  
Guirong Liu
Keyword(s):  
Birth Control ◽  
Population Model ◽  
Size Structure ◽  
Control Problems

An optimal birth control problem for a dynamical population model with size-structure

2012 ◽  
Vol 13 (3) ◽  
pp. 1369-1378 ◽  
Author(s):  
Ze-Rong He ◽  
Yan Liu
Keyword(s):  
Control Problem ◽  
Birth Control ◽  
Population Model ◽  
Size Structure

Behavioral analysis of a nonlinear three-staged population model with age-size-structure

2014 ◽  
Vol 227 ◽  
pp. 437-448 ◽  
Author(s):  
Yan Liu ◽  
Ze-Rong He
Keyword(s):  
Population Model ◽  
Size Structure ◽  
Behavioral Analysis

Structure and composition of metal particles in Pt-Sn/Al2O3 bimetallic catalysts

1990 ◽  
Vol 48 (4) ◽  
pp. 278-279
Author(s):  
A. Sachdev ◽  
J. Schwank
Keyword(s):  
Bimetallic Catalysts ◽  
Bimetallic Catalyst ◽  
Size Structure ◽  
High Surface ◽  
High Surface Area ◽  
Metal Particles ◽  
Alloy Formation ◽  
Particle Size Range ◽  
Oxide Supports ◽  
Petroleum Fractions

Platinum - tin bimetallic catalysts have been primarily utilized in the chemical industry in the catalytic reforming of petroleum fractions. In this process the naphtha feedstock is converted to hydrocarbons with higher octane numbers and high anti-knock qualities. Most of these catalysts contain small metal particles or crystallites supported on high surface area insulating oxide supports. The determination of the structure and composition of these particles is crucial to the understanding of the catalytic behavior. In a bimetallic catalyst it is important to know how the two metals are distributed within the particle size range and in what way the addition of a second metal affects the size, structure and composition of the metal particles. An added complication in the Pt-Sn system is the possibility of alloy formation between the two elements for all atomic ratios.

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