Almost periodic solutions of neutral-type differential system on time scales and applications to population models
We first study almost periodic solutions of neutral-type differential system on time scales and establish some basic results for the considered system. Furthermore, based on these results, the dynamic behaviors of two classes of neutral-type biological population models including host-macroparasite...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025180 |
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| _version_ | 1850264506127613952 |
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| author | Jing Ge Xiaoliang Li Bo Du Famei Zheng |
| author_facet | Jing Ge Xiaoliang Li Bo Du Famei Zheng |
| author_sort | Jing Ge |
| collection | DOAJ |
| description | We first study almost periodic solutions of neutral-type differential system on time scales and establish some basic results for the considered system. Furthermore, based on these results, the dynamic behaviors of two classes of neutral-type biological population models including host-macroparasite model and Lasota–Wazewska model are obtained. It is worth mentioning that we study almost periodic solutions for neutral-type differential system on time scales. Furthermore, using the above study and exponential dichotomy method, we investigate two types of biological population models. |
| format | Article |
| id | doaj-art-25e4037bc9d3498097a575a73fc9eba0 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-25e4037bc9d3498097a575a73fc9eba02025-08-20T01:54:41ZengAIMS PressAIMS Mathematics2473-69882025-02-011023866388310.3934/math.2025180Almost periodic solutions of neutral-type differential system on time scales and applications to population modelsJing Ge0Xiaoliang Li1Bo Du2Famei Zheng3School of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, Jiangsu, ChinaJiyang College, Zhejiang Agriculture and Forestry University, Zhuji 311800, Zhejiang, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, Jiangsu, ChinaSchool of Mathematics and Statistics, Huaiyin Normal University, Huaian 223300, Jiangsu, ChinaWe first study almost periodic solutions of neutral-type differential system on time scales and establish some basic results for the considered system. Furthermore, based on these results, the dynamic behaviors of two classes of neutral-type biological population models including host-macroparasite model and Lasota–Wazewska model are obtained. It is worth mentioning that we study almost periodic solutions for neutral-type differential system on time scales. Furthermore, using the above study and exponential dichotomy method, we investigate two types of biological population models.https://www.aimspress.com/article/doi/10.3934/math.2025180almost periodic solutiontime scalesglobal exponential stabilityexponential dichotomy |
| spellingShingle | Jing Ge Xiaoliang Li Bo Du Famei Zheng Almost periodic solutions of neutral-type differential system on time scales and applications to population models AIMS Mathematics almost periodic solution time scales global exponential stability exponential dichotomy |
| title | Almost periodic solutions of neutral-type differential system on time scales and applications to population models |
| title_full | Almost periodic solutions of neutral-type differential system on time scales and applications to population models |
| title_fullStr | Almost periodic solutions of neutral-type differential system on time scales and applications to population models |
| title_full_unstemmed | Almost periodic solutions of neutral-type differential system on time scales and applications to population models |
| title_short | Almost periodic solutions of neutral-type differential system on time scales and applications to population models |
| title_sort | almost periodic solutions of neutral type differential system on time scales and applications to population models |
| topic | almost periodic solution time scales global exponential stability exponential dichotomy |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025180 |
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