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Amplitude Equations for Timedependent Solutions of the McKendrick Equations
, 1999
"... The wellknown McKendrick equations model the dynamical behavior of agedependent populations. These equations govern, at time t, the number of individuals of age a in a population, known as the population density, and arise from a conservation law subject to constitutive assumptions for the materni ..."
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The wellknown McKendrick equations model the dynamical behavior of agedependent populations. These equations govern, at time t, the number of individuals of age a in a population, known as the population density, and arise from a conservation law subject to constitutive assumptions
Voting Rule Based Cellular Automata Epidemic Spread Model for Leptospirosis
"... The first type in Compartmental modelthe SIR model proposed by Kermack and Mckendrick in 1927 consists of only human population1. Leptospirosis has two groups of population namely humans and animals, the latter being ..."
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The first type in Compartmental modelthe SIR model proposed by Kermack and Mckendrick in 1927 consists of only human population1. Leptospirosis has two groups of population namely humans and animals, the latter being
CUTANEOUS REACTIONS WITH CULTUR~E FILTRATES OF THE COLON TYPHOID TYPE
"... It has long been known that products of the typhoid bacillus induce a skin reaction. McKendrick (1) in 1923 carefully reviewed the early publications on the subject. In 1914 Gay (2) and his coworkers were able to demonstrate with the use of their socalled "typhoidin test " cutaneous mani ..."
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It has long been known that products of the typhoid bacillus induce a skin reaction. McKendrick (1) in 1923 carefully reviewed the early publications on the subject. In 1914 Gay (2) and his coworkers were able to demonstrate with the use of their socalled "typhoidin test " cutaneous
Temporal and Spatial Evolution of a SIRtype Epidemic – ARGESIM Comparison C17 Definition
, 2004
"... The aim of this comparison is to numerically solve the classical Kermack McKendrick epidemicmodel, given through a system of ordinary differential equations, and furthermore to develop a cellular automaton model whose properties represent the ones governed by the continuous model. Since for this p ..."
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The aim of this comparison is to numerically solve the classical Kermack McKendrick epidemicmodel, given through a system of ordinary differential equations, and furthermore to develop a cellular automaton model whose properties represent the ones governed by the continuous model. Since
The Reproductive Value in Distributed Optimal Control Models
, 2009
"... We show that in a large class of distributed optimal control models (DOCM), where population is described by a McKendrick type equation with an endogenous number of newborns, the reproductive value of Fisher shows up as part of the shadow price of the population. Depending on the objective function, ..."
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We show that in a large class of distributed optimal control models (DOCM), where population is described by a McKendrick type equation with an endogenous number of newborns, the reproductive value of Fisher shows up as part of the shadow price of the population. Depending on the objective function
Asymptotic Behaviour Of A NonAutonomous Population Equation With Diffusion In L¹
"... We prove existence and uniqueness of positive solutions of an agestructured population equation of McKendrick type with spatial diffusion in L 1 . The coefficients may depend on age and position. Moreover, the mortality rate is allowed to be unbounded and the fertility rate is time dependent. I ..."
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We prove existence and uniqueness of positive solutions of an agestructured population equation of McKendrick type with spatial diffusion in L 1 . The coefficients may depend on age and position. Moreover, the mortality rate is allowed to be unbounded and the fertility rate is time dependent
Optimal Birth Control of Population Dynamics. II. Problems with Free Final Time, Phase Constraints, and MiniMax Costs*
, 1988
"... We study optimal birth control of population systems of McKendrick type which is a distributed parameter system involving first order partial differential equations with nonlocal bilinear boundary control. New results on problems with free final time, phase constraints, and minimax costs are presen ..."
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We study optimal birth control of population systems of McKendrick type which is a distributed parameter system involving first order partial differential equations with nonlocal bilinear boundary control. New results on problems with free final time, phase constraints, and minimax costs
Mathematical Biology © SpringerVerlag 1991 Juvenile versus adult competition
, 1989
"... Abstract. A general class of agestructured models based upon the McKendrick/ von Foerster equations are used to study intraspecific competition between juveniles and adults. Criteria for the existence and stability of equilibria are obtained and the dependence of equilibrium stability (i.e. equilib ..."
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Abstract. A general class of agestructured models based upon the McKendrick/ von Foerster equations are used to study intraspecific competition between juveniles and adults. Criteria for the existence and stability of equilibria are obtained and the dependence of equilibrium stability (i
SusceptibleInfectiousRecovered Models Revisited: From the Individual Level to the Population Level
, 2014
"... The classical susceptibleinfectiousrecovered (SIR) model, originated from the seminal papers of Ross [51] and Ross and Hudson [52, 53] in 19161917 and the fundamental contributions of Kermack and McKendrick [36, 37, 38] in 19271932, describes the transmission of infectious diseases between susc ..."
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The classical susceptibleinfectiousrecovered (SIR) model, originated from the seminal papers of Ross [51] and Ross and Hudson [52, 53] in 19161917 and the fundamental contributions of Kermack and McKendrick [36, 37, 38] in 19271932, describes the transmission of infectious diseases between
Rural Development in South Africa: Implications for Social Work Practice +
"... An attempt will be made in this paper to describe the shared characteristics of rural communities, especially the lack of resources which lead to a failure to gratify the aspirations of the inhabitants of rural areas. Community involvement or participation may be utilised as a tool to conscientise ..."
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rural communities about the need to change their deplorable situation. This could be done without necessarily disrupting the existing pace of life in rural areas. Mention is also made of the types of resources which can be employed in rural development and the need to use these resources optimally
Results 1  10
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