The dynamics of Coronavirus pandemic disease model in the existence of a curfew strategy

Mohsen, Ahmed A.; Al-Husseiny, Hassan Fadhil; Naji, Raid Kamel

doi:10.1080/09720502.2021.2001139

Cited by 6 publications

(5 citation statements)

References 15 publications

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“…Hence, due to Condition (22), it can be obtained that µ(Ξ) < 0 on the interior of the compact absorbing set Γ. Therefore, the endemic equilibrium point of System (2) is globally asymptotically stable under Condition (22), and the proof is complete.…”

Section: Global Stabilitymentioning

confidence: 81%

“…It has been determined that the COVID-19 pandemic can be controlled by decreasing contact between susceptible and infected compartments or by increasing the recovery rates of symptomatic and asymptomatic people. A recent study by Mohsen et al [22] found that social isolation and the use of curfews are efficient ways to stop the spread of the disease. The authors used conventional methods to investigate the local and global stability analyses of the endemic and disease-free equilibrium points.…”

Section: Discussionmentioning

confidence: 99%

“…A compartmental epidemic model was especially considered, including vaccination, social distance measures, and testing of vulnerable individuals. Recently, the COVID-19 pandemic model's dynamic behavior has been suggested and examined; for more information, read Mohsen et al [22]. They believe that a curfew technique was being used in addition to social isolation to contain the spread of the disease.…”

Section: Introductionmentioning

confidence: 99%

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A Mathematical Study for the Transmission of Coronavirus Disease

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Naji

2023

Mathematics

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Globally, the COVID-19 pandemic’s development has presented significant societal and economic challenges. The carriers of COVID-19 transmission have also been identified as asymptomatic infected people. Yet, most epidemic models do not consider their impact when accounting for the disease’s indirect transmission. This study suggested and investigated a mathematical model replicating the spread of coronavirus disease among asymptomatic infected people. A study was conducted on every aspect of the system’s solution. The equilibrium points and the basic reproduction number were computed. The endemic equilibrium point and the disease-free equilibrium point had both undergone local stability analyses. A geometric technique was used to look into the global dynamics of the endemic point, whereas the Castillo-Chavez theorem was used to look into the global stability of the disease-free point. The system’s transcritical bifurcation at the disease-free point was discovered to exist. The system parameters were changed using the basic reproduction number’s sensitivity technique. Ultimately, a numerical simulation was used to apply the model to the population of Iraq in order to validate the findings and define the factors that regulate illness breakout.

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Section: Global Stabilitymentioning

confidence: 81%

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A Mathematical Study for the Transmission of Coronavirus Disease

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Naji

2023

Mathematics

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“…Mathematical modeling of infectious diseases, over the last century, has tackled this topic with various approaches and assumptions. Among other models, epidemics have been modelled via a system of ordinary differential equations (ODEs) [1,2,3,4,5,6,7], partial differential equations (PDEs) [8,9,10,11], delay differential equations (DDEs) [12,13,14], stochastic differential equations (SDEs) [15,16,17,18] and networks [19,20,21,22,23].…”

Section: Introductionmentioning

confidence: 99%

Stability analysis andB ifurcation for an Bacterial Meningitis S preadingwith S tage S tructure : Mathematical M odeling

Abdulkadhim,

Mohsen,

Al Husseiny

et al. 2024

Iraqi Journal of Science

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“…Sun et al, for instance, employed the SEQIR model [12] to obtain optimal control when battling epidemic diseases. Many other recent studies are available for those interested, which deal with various infectious disease models in addition to those indicated as approved sources in these studies, for example, [13][14][15][16][17][18][19][20][21]. To produce a more accurate depiction of system dynamics, there are also important studies aimed at adding the idea of time delay to epidemiological models.…”

Section: Introductionmentioning

confidence: 99%

Dynamics Analysis of a Delayed Crimean‐Congo Hemorrhagic Fever Virus Model in Humans

Al-Jubouri,

Naji

2024

Journal of Applied Mathematics

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Given that the Crimean and Congo hemorrhagic fever is one of the deadly viral diseases that occur seasonally due to the activity of the carrier “tick,” studying and developing a mathematical model simulating this illness are crucial. Due to the delay in the disease’s incubation time in the sick individual, the paper involved the development of a mathematical model modeling the transmission of the disease from the carrier to humans and its spread among them. The major objective is to comprehend the dynamics of illness transmission so that it may be controlled, as well as how time delay affects this. The discussion of every one of the solution’s qualitative attributes is included. According to the established basic reproduction number, the stability analysis of the endemic equilibrium point and the disease-free equilibrium point is examined for the presence or absence of delay. Hopf bifurcation’s triggering circumstance is identified. Using the center manifold theorem and the normal form, the direction and stability of the bifurcating Hopf bifurcation are explored. The next step is sensitivity analysis, which explains the set of control settings that have an impact on how the system behaves. Finally, to further comprehend the model’s dynamical behavior and validate the discovered analytical conclusions, numerical simulation has been used.

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The dynamics of Coronavirus pandemic disease model in the existence of a curfew strategy

Cited by 6 publications

References 15 publications

A Mathematical Study for the Transmission of Coronavirus Disease

A Mathematical Study for the Transmission of Coronavirus Disease

Stability analysis andB ifurcation for an Bacterial Meningitis S preadingwith S tage S tructure : Mathematical M odeling

Dynamics Analysis of a Delayed Crimean‐Congo Hemorrhagic Fever Virus Model in Humans

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