Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment

This paper is considered with a scalar delay Nicholson’s blowflies equation in periodic environment. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global asymptotic stability of positive periodic solu...

Teljes leírás

Elmentve itt :
Bibliográfiai részletek
Szerző: Ding Xiaodan
Dokumentumtípus: Folyóirat
Megjelent: 2022
Sorozat:Electronic journal of qualitative theory of differential equations
Kulcsszavak:Nicholson egyenlet, Differenciálegyenlet
Tárgyszavak:
doi:10.14232/ejqtde.2022.1.14

Online Access:http://acta.bibl.u-szeged.hu/75829
LEADER 01505nas a2200229 i 4500
001 acta75829
005 20220524080459.0
008 220524s2022 hu o 0|| eng d
022 |a 1417-3875 
024 7 |a 10.14232/ejqtde.2022.1.14  |2 doi 
040 |a SZTE Egyetemi Kiadványok Repozitórium  |b hun 
041 |a eng 
100 1 |a Ding Xiaodan 
245 1 0 |a Global asymptotic stability of a scalar delay Nicholson's blowflies equation in periodic environment  |h [elektronikus dokumentum] /  |c  Ding Xiaodan 
260 |c 2022 
300 |a 10 
490 0 |a Electronic journal of qualitative theory of differential equations 
520 3 |a This paper is considered with a scalar delay Nicholson’s blowflies equation in periodic environment. By taking advantage of some novel differential inequality techniques and the fluctuation lemma, we set up the sharp condition to characterize the global asymptotic stability of positive periodic solutions on the addressed equation. The obtained results improve and supplement some existing ones in recent literature, and then give a more perfect answer to an open problem proposed by Berezansky et al. in [Appl. Math. Model. 34(2010), 1405–1417]. In particular, two numerical examples are provided to verify the reliability and feasibility of the theoretical findings. 
650 4 |a Természettudományok 
650 4 |a Matematika 
695 |a Nicholson egyenlet, Differenciálegyenlet 
856 4 0 |u http://acta.bibl.u-szeged.hu/75829/1/ejqtde_2022_014.pdf  |z Dokumentum-elérés