Existence and exponential stability of periodic solutions of Nicholson-type systems with nonlinear density-dependent mortality and linear harvesting
In this work we study a Nicholson-type periodic system with variable delay, density-dependent mortality and linear harvesting rate. Using the topological degree and Lyapunov stability theories, we obtain sufficient conditions that allow us to demonstrate the existence of periodic solutions for the N...
Elmentve itt :
| Szerzők: | |
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2023
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Nicholson-típusú rendszerek, Differenciálegyenlet - nemlineáris |
| doi: | 10.14232/ejqtde.2023.1.15 |
| Online Access: | http://acta.bibl.u-szeged.hu/82265 |
| LEADER | 01399nas a2200217 i 4500 | ||
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| 005 | 20231116112532.0 | ||
| 008 | 231116s2023 hu o 0|| eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2023.1.15 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Ossandón Gustavo | |
| 245 | 1 | 0 | |a Existence and exponential stability of periodic solutions of Nicholson-type systems with nonlinear density-dependent mortality and linear harvesting |h [elektronikus dokumentum] / |c Ossandón Gustavo |
| 260 | |c 2023 | ||
| 300 | |a 18 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a In this work we study a Nicholson-type periodic system with variable delay, density-dependent mortality and linear harvesting rate. Using the topological degree and Lyapunov stability theories, we obtain sufficient conditions that allow us to demonstrate the existence of periodic solutions for the Nicholson-type system and, under suitable conditions, the uniqueness and local exponential stability of the periodic solution is established. We illustrate our results with an example and numerical simulations. | |
| 695 | |a Nicholson-típusú rendszerek, Differenciálegyenlet - nemlineáris | ||
| 700 | 0 | 1 | |a Sepúlveda Daniel |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/82265/1/ejqtde_2023_015.pdf |z Dokumentum-elérés |