Permanence and Uniform Asymptotic Stability of Positive Solutions of SAIQH Models on Time Scales
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917698764537856 |
|---|---|
| author | Zine, Nedjoua Bayour, Benaoumeur Torres, Delfim F. M. |
| author_facet | Zine, Nedjoua Bayour, Benaoumeur Torres, Delfim F. M. |
| contents | A susceptible, asymptomatic, infectious, quarantined, and hospitalized (SAIQH) compartmental model on time scales is introduced and a suitable Lyapunov function is defined. Main results include: the proof that the system is permanent; proof of existence of solution; and sufficient conditions implying the dynamic system to have a unique almost periodic solution that is uniformly asymptotically stable. An example is presented supporting the obtained results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12860 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Permanence and Uniform Asymptotic Stability of Positive Solutions of SAIQH Models on Time Scales Zine, Nedjoua Bayour, Benaoumeur Torres, Delfim F. M. Dynamical Systems 34A12, 34N05 A susceptible, asymptomatic, infectious, quarantined, and hospitalized (SAIQH) compartmental model on time scales is introduced and a suitable Lyapunov function is defined. Main results include: the proof that the system is permanent; proof of existence of solution; and sufficient conditions implying the dynamic system to have a unique almost periodic solution that is uniformly asymptotically stable. An example is presented supporting the obtained results. |
| title | Permanence and Uniform Asymptotic Stability of Positive Solutions of SAIQH Models on Time Scales |
| topic | Dynamical Systems 34A12, 34N05 |
| url | https://arxiv.org/abs/2406.12860 |