Bifurcation Analysis of a Generalized Impulsive Kolmogorov Model With Applications to Pest and Disease Control

2020 ◽  
Vol 80 (4) ◽  
pp. 1796-1819 ◽  
Author(s):  
Qianqian Zhang ◽  
Biao Tang ◽  
Tianyu Cheng ◽  
Sanyi Tang
Keyword(s):  
Disease Control ◽  
Bifurcation Analysis ◽  
Kolmogorov Model

scholarly journals Bifurcation analysis and chaos of a discrete-time Kolmogorov model

2021 ◽  
Vol 15 (1) ◽  
pp. 1054-1067
Author(s):  
A. Q. Khan ◽  
S. Khaliq ◽  
O. Tunç ◽  
A. Khaliq ◽  
M. B. Javaid ◽  
...  
Keyword(s):  
Discrete Time ◽  
Bifurcation Analysis ◽  
Kolmogorov Model

scholarly journals Global Dynamics, Bifurcation Analysis, and Chaos in a Discrete Kolmogorov Model with Piecewise-Constant Argument

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Abdul Qadeer Khan
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Bifurcation Analysis ◽  
Global Attractivity ◽  
Global Dynamics ◽  
Flip Bifurcation ◽  
Piecewise Constant ◽  
Kolmogorov Model ◽  
Piecewise Constant Argument ◽  
Constant Argument

The local behavior with topological classifications, bifurcation analysis, chaos control, boundedness, and global attractivity of the discrete-time Kolmogorov model with piecewise-constant argument are investigated. It is explored that Kolmogorov model has trivial and two semitrival fixed points for all involved parameters, but it has an interior fixed point under definite parametric condition. Then, by linear stability theory, local dynamics with different topological classifications are investigated around trivial, semitrival, and interior fixed points. Further for the discrete Kolmogorov model, existence of periodic points is also investigated. It is also investigated the occurrence of bifurcations at interior fixed point and proved that at interior fixed point, there exists no bifurcation, except flip bifurcation by bifurcation theory. Next, feedback control method is utilized to stabilize chaos existing in discrete Kolmogorov model. Boundedness and global attractivity of the discrete Kolmogorov model are also investigated. Finally, obtained results are numerically verified.

Implementation of a pedodontic disease control program

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

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

2019 ◽  
Vol 28 (3) ◽  
pp. 1363-1370 ◽  
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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