Existence of solutions for an age-structured insect population model with a larval stage
In this paper we particularly draw attention to the existence of solutions which describe the maturation rates of an age-structured insect population model. Such models commonly divide the population into immature and mature individuals. Immature individuals are defined as individuals of age less th...
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| Format: | Article |
| Language: | English |
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University of Szeged
2017-09-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5156 |
| _version_ | 1797830582355361792 |
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| author | Božena Dorociaková Iveta Ilavská Rudolf Olach |
| author_facet | Božena Dorociaková Iveta Ilavská Rudolf Olach |
| author_sort | Božena Dorociaková |
| collection | DOAJ |
| description | In this paper we particularly draw attention to the existence of solutions which describe the maturation rates of an age-structured insect population model. Such models commonly divide the population into immature and mature individuals. Immature individuals are defined as individuals of age less than some threshold age $\tau$, while adults are individuals of age exceeding $\tau$. The model is represented by the nonlinear neutral differential equation with variable coefficients. The conditions, which guarantee that the population size tends to a nonnegative constant or nonconstant function are also established. |
| first_indexed | 2024-04-09T13:38:23Z |
| format | Article |
| id | doaj.art-6db1fe1a999847cf96962e42d66bb1f2 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:38:23Z |
| publishDate | 2017-09-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-6db1fe1a999847cf96962e42d66bb1f22023-05-09T07:53:07ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752017-09-0120176511410.14232/ejqtde.2017.1.655156Existence of solutions for an age-structured insect population model with a larval stageBožena Dorociaková0Iveta Ilavská1Rudolf Olach2Žilinská Univerzita v Žiline, SlovakiaDepartment of Qualitative Methods and Economic Informatics, University of Žilina, Slovak RepublicŽilinská Univerzita v Žiline, Žilina, SlovakiaIn this paper we particularly draw attention to the existence of solutions which describe the maturation rates of an age-structured insect population model. Such models commonly divide the population into immature and mature individuals. Immature individuals are defined as individuals of age less than some threshold age $\tau$, while adults are individuals of age exceeding $\tau$. The model is represented by the nonlinear neutral differential equation with variable coefficients. The conditions, which guarantee that the population size tends to a nonnegative constant or nonconstant function are also established.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5156population modelsage structureneutral delay equationexistencefixed point theorem |
| spellingShingle | Božena Dorociaková Iveta Ilavská Rudolf Olach Existence of solutions for an age-structured insect population model with a larval stage Electronic Journal of Qualitative Theory of Differential Equations population models age structure neutral delay equation existence fixed point theorem |
| title | Existence of solutions for an age-structured insect population model with a larval stage |
| title_full | Existence of solutions for an age-structured insect population model with a larval stage |
| title_fullStr | Existence of solutions for an age-structured insect population model with a larval stage |
| title_full_unstemmed | Existence of solutions for an age-structured insect population model with a larval stage |
| title_short | Existence of solutions for an age-structured insect population model with a larval stage |
| title_sort | existence of solutions for an age structured insect population model with a larval stage |
| topic | population models age structure neutral delay equation existence fixed point theorem |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5156 |
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