A population model with birth pulses, age structure, and non-overlapping generations

2015 ◽  
Vol 271 ◽  
pp. 400-417 ◽  
Author(s):  
Alan J. Terry
Keyword(s):  
Age Structure ◽  
Population Model ◽  
Overlapping Generations

The Hardy-Weinberg law with overlapping generations

1974 ◽  
Vol 6 (1) ◽  
pp. 4-6 ◽  
Author(s):  
Brian Charlesworth
Keyword(s):  
Population Genetics ◽  
Genetic Drift ◽  
Age Structure ◽  
Continuous Time ◽  
Arbitrary Number ◽  
Overlapping Generations ◽  
Birth Rate ◽  
Allele Frequencies ◽  
Autosomal Locus ◽  
Weak Ergodicity

The Hardy-Weinberg law is generally regarded as one of the most important results of population genetics. It was originally proved for the case of populations with distinct generations (Hardy (1908), Weinberg (1908)); a general proof for populations with overlapping generations has apparently not been given before. The case of a single autosomal locus with an arbitrary number of alleles is considered here. Births and deaths are assumed to occur in continuous time. The weak ergodicity property of the birth rate and age structure of such a population, first derived by Norton (1928), is used to establish the fact that allele frequencies tend to constant limits in the absence of mutation, migration, selection and genetic drift.

MEY Harvesting Strategies in an Overlapping Generations Fishery Population Model

2018 ◽  
Vol 29 (107) ◽  
pp. 1
Author(s):  
Burcu Özgün ◽  
Özgen Öztürk ◽  
Serkan Küçükşenel
Keyword(s):  
Population Model ◽  
Overlapping Generations

scholarly journals EFFECT OF AGE STRUCTURE AND MATERNAL SELECTION IN POLYMORPHISM MAINTENANCE ON LONG-LIVED SPECIES UNDER A CYCLICALLY CHANGING ENVIRONMENT

2021 ◽  
Vol 24 (2-3) ◽  
pp. 188-191
Author(s):  
O.L. Zhdanova ◽  
Е.Ya. Frisman
Keyword(s):  
Litter Size ◽  
Age Structure ◽  
Overlapping Generations ◽  
Food Resources ◽  
Prey Abundance ◽  
Arctic Fox ◽  
Changing Environment ◽  
Complex Effect ◽  
Arctic Foxes ◽  
Effect Of Age

Maternal selection and overlapping generations can facilitate stable coexistence of alleles under temporally fluctuating environment. The work studies a complex effect of both factors under asymmetric cyclic selection, which simulates environment fluctuation by analogy of food resources cycles with rare peaks and prolonged decline of prey abundance. Our modeling intends to describe a situation demonstrated by the community of “arctic foxes – mouse-like rodents” and explain maintaining polymorphism on litter size in arctic fox.

A DIFFERENTIAL GAME OF POLLUTION CONTROL WITH OVERLAPPING GENERATIONS

2014 ◽  
Vol 16 (03) ◽  
pp. 1450005 ◽  
Author(s):  
STEFAN WRZACZEK ◽  
EKATERINA SHEVKOPLYAS ◽  
SERGEY KOSTYUNIN
Keyword(s):  
Differential Game ◽  
Age Structure ◽  
Pollution Control ◽  
Overlapping Generations ◽  
Optimal Strategies ◽  
Overlapping Generations Model ◽  
Cooperative Solution ◽  
Altruistic Motive

We formulate an overlapping generations model on optimal emissions with continuous age structure. We compare the noncooperative solution to the cooperative one and obtain fundamental differences in the optimal strategies. Also including an altruistic motive does not avoid the problem of the myopic noncooperative solution. Finally we define a time-consistent tax scheme to obtain the cooperative solution in the noncooperative case.

A Study on Middle-Income Population Measurement Model and Methods

2014 ◽  
Vol 644-650 ◽  
pp. 5498-5504
Author(s):  
Tian Jiu Leng ◽  
Tai Xiang
Keyword(s):  
Growth Rate ◽  
Markov Chain ◽  
Linear Relationship ◽  
Age Structure ◽  
Population Model ◽  
Measurement Model ◽  
Middle Income ◽  
Differential Model ◽  
Net Growth Rate ◽  
Future Population

Through improving the Logistic population model, this paper sets a linear relationship between the net growth rate of the population and time, gets a differential model for predicting the future population, and uses Markov chain for predicting the age structure of the population in China

Globally Asymptotic Stability of a Delayed Integro-Differential Equation With Nonlocal Diffusion

2017 ◽  
Vol 60 (2) ◽  
pp. 436-448 ◽  
Author(s):  
Peixuan Weng ◽  
Li Liu
Keyword(s):  
Differential Equation ◽  
Asymptotic Stability ◽  
Age Structure ◽  
Population Model ◽  
Zero Solution ◽  
Comparison Method ◽  
Nonlocal Diffusion ◽  
Positive Equilibrium ◽  
Globally Asymptotic Stability ◽  
Analytical Technique

AbstractWe study a population model with nonlocal diòusion, which is a delayed integro-diòerential equation with double nonlinearity and two integrable kernels. By comparison method and analytical technique, we obtain globally asymptotic stability of the zero solution and the positive equilibrium. The results obtained reveal that the globally asymptotic stability only depends on the property of nonlinearity. As an application, we discuss an example for a population model with age structure.

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