A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care
A mathematical model based on a discrete newborn set is proposed to describe the evolution of a sex-age-structured population, taking into account the temporary pair of sexes, infinite ranges of reproductive age of sexes, and maternal care of offspring. Pair formation is modeled by a weighted harmo...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Emrah Evren KARA
2024-06-01
|
| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/en/download/article-file/3728484 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1846118483650150400 |
|---|---|
| author | Vladas Skakauskas |
| author_facet | Vladas Skakauskas |
| author_sort | Vladas Skakauskas |
| collection | DOAJ |
| description | A mathematical model based on a discrete newborn set is proposed to describe the evolution of a sex-age-structured population, taking into account the temporary pair of sexes, infinite ranges of reproductive age of sexes, and maternal care of offspring. Pair formation is modeled by a weighted harmonic mean type function. The model is based on the concept of density of families composed of mothers with their newborns. All individuals are divided into the pre-reproductive and reproductive age groups. Individuals of the pre-reproductive class are divided into the newborn and teenager groups. Newborns are under maternal care while the teenagers can live without maternal care but cannot mate. Females of the reproductive age group are divided into singles and those who care for their offspring. The model is composed of a coupled system of integro-partial differential equations. Sufficient conditions for the existence of a one-parameter class of separable solutions of this model are found in the case of stationary vital rates. |
| format | Article |
| id | doaj-art-a2c882fd03dd4b6d926976fd1e913677 |
| institution | Kabale University |
| issn | 2651-4001 |
| language | English |
| publishDate | 2024-06-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj-art-a2c882fd03dd4b6d926976fd1e9136772024-12-17T17:20:26ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012024-06-017211412410.33434/cams.14369221225A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal CareVladas Skakauskas0https://orcid.org/0009-0007-4429-9488Vilnius universityA mathematical model based on a discrete newborn set is proposed to describe the evolution of a sex-age-structured population, taking into account the temporary pair of sexes, infinite ranges of reproductive age of sexes, and maternal care of offspring. Pair formation is modeled by a weighted harmonic mean type function. The model is based on the concept of density of families composed of mothers with their newborns. All individuals are divided into the pre-reproductive and reproductive age groups. Individuals of the pre-reproductive class are divided into the newborn and teenager groups. Newborns are under maternal care while the teenagers can live without maternal care but cannot mate. Females of the reproductive age group are divided into singles and those who care for their offspring. The model is composed of a coupled system of integro-partial differential equations. Sufficient conditions for the existence of a one-parameter class of separable solutions of this model are found in the case of stationary vital rates.https://dergipark.org.tr/en/download/article-file/3728484age-sex-structured population modelspopulation models with parental caretwo sex population models |
| spellingShingle | Vladas Skakauskas A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care Communications in Advanced Mathematical Sciences age-sex-structured population models population models with parental care two sex population models |
| title | A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care |
| title_full | A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care |
| title_fullStr | A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care |
| title_full_unstemmed | A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care |
| title_short | A One-Parameter Class of Separable Solutions for An Age-Sex-Structured Population Model with an Infinite Range of Reproductive Ages, A Discrete Set of Offspring, and Maternal Care |
| title_sort | one parameter class of separable solutions for an age sex structured population model with an infinite range of reproductive ages a discrete set of offspring and maternal care |
| topic | age-sex-structured population models population models with parental care two sex population models |
| url | https://dergipark.org.tr/en/download/article-file/3728484 |
| work_keys_str_mv | AT vladasskakauskas aoneparameterclassofseparablesolutionsforanagesexstructuredpopulationmodelwithaninfiniterangeofreproductiveagesadiscretesetofoffspringandmaternalcare AT vladasskakauskas oneparameterclassofseparablesolutionsforanagesexstructuredpopulationmodelwithaninfiniterangeofreproductiveagesadiscretesetofoffspringandmaternalcare |