Application of an age-structured deterministic endemic model for disease control in Nigeria

ABSTRACTThis paper focuses on the development and analysis of the endemic model for disease control in an aged-structured population in Nigeria. Upon the model framework development, the model equations were transformed into proportions with rate of change of the different compartments forming the model, thereby reducing the model equations from twelve to ten homogenous ordinary differential equations. The model exhibits two equilibria, the endemic state and the disease-free equilibrium state while successfully achieving a Reproductive Number R0 = 0.The deterministic endemic susceptible-exposed-infected-removed-undetectable=untransmissible-susceptible (SEIRUS) model is analyzed for the existence and stability of the disease-free equilibrium state. We established that a disease-free equilibrium state exists and is locally asymptotically stable when the basic reproduction number 0 ≤ R0 < 1. Furthermore, numerical simulations were carried to complement the analytical results in investigating the effect treatment rate and the net transmission rate on recovery for both juvenile and adult sub-population in an age-structured population.

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Disease control in an age-structured population in south Africa using the susceptible-exposed-infected-removed-undetectable-susceptible (SEIRUS) model

Engineering Mathematics Letters ◽

10.28919/eml/4699 ◽

2020 ◽

Keyword(s):

South Africa ◽

Disease Control ◽

Structured Population ◽

Age Structured ◽

Age Structured Population

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Implementation of a pedodontic disease control program

Journal of Dental Education ◽

10.1002/j.0022-0337.1975.39.2.tb00852.x ◽

1975 ◽

Vol 39 (2) ◽

pp. 102-105

Author(s):

Pinkham ◽

G Ori ◽

SH Wei ◽

CA Full ◽

FM Parkins

Keyword(s):

Disease Control ◽

Control Program ◽

Disease Control Program

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The Speech-Language Pathologists' Role in Mild Traumatic Brain Injury for Middle and High School–Age Children: Viewpoints on Guidelines From the Centers for Disease Control and Prevention

American Journal of Speech-Language Pathology ◽

10.1044/2019_ajslp-18-0296 ◽

2019 ◽

Vol 28 (3) ◽

pp. 1363-1370 ◽

Cited By ~ 2

Author(s):

Jessica Brown ◽

Katy O'Brien ◽

Kelly Knollman-Porter ◽

Tracey Wallace

Keyword(s):

High School ◽

Traumatic Brain Injury ◽

Brain Injury ◽

Disease Control ◽

Mild Traumatic Brain Injury ◽

School Age Children ◽

School Age ◽

Speech Language Pathologists ◽

Control And Prevention ◽

Centers For Disease Control

Purpose The Centers for Disease Control and Prevention (CDC) recently released guidelines for rehabilitation professionals regarding the care of children with mild traumatic brain injury (mTBI). Given that mTBI impacts millions of children each year and can be particularly detrimental to children in middle and high school age groups, access to universal recommendations for management of postinjury symptoms is ideal. Method This viewpoint article examines the CDC guidelines and applies these recommendations directly to speech-language pathology practices. In particular, education, assessment, treatment, team management, and ongoing monitoring are discussed. In addition, suggested timelines regarding implementation of services by speech-language pathologists (SLPs) are provided. Specific focus is placed on adolescents (i.e., middle and high school–age children). Results SLPs are critical members of the rehabilitation team working with children with mTBI and should be involved in education, symptom monitoring, and assessment early in the recovery process. SLPs can also provide unique insight into the cognitive and linguistic challenges of these students and can serve to bridge the gap among rehabilitation and school-based professionals, the adolescent with brain injury, and their parents. Conclusion The guidelines provided by the CDC, along with evidence from the field of speech pathology, can guide SLPs to advocate for involvement in the care of adolescents with mTBI. More research is needed to enhance the evidence base for direct assessment and treatment with this population; however, SLPs can use their extensive knowledge and experience working with individuals with traumatic brain injury as a starting point for post-mTBI care.

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