scholarly journals Dynamical system of the growth of COVID-19 with controller

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Rabha W. Ibrahim ◽  
Dania Altulea ◽  
Rafida M. Elobaid

AbstractRecently, various studied were presented to describe the population dynamic of covid-19. In this effort, we aim to introduce a different vitalization of the growth by using a controller term. Our method is based on the concept of conformable calculus, which involves this term. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion among infected and asymptomatic characters. Strong control is considered due to the social separation. The result is consequently associated with a macroscopic law for the population. This dynamic system is useful to recognize the behavior of the growth rate of the infection and to confirm if its control is correctly functioning. A unique solution is studied under self-mapping properties. The periodicity of the solution is examined by using integral control and the optimal control is discussed in the sequel.

Author(s):  
Nian Shao ◽  
Jin Cheng ◽  
Wenbin Chen

AbstractIn this paper, we estimate the reproductive number R0 of COVID-19 based on Wallinga and Lipsitch framework [11] and a novel statistical time delay dynamic system. We use the observed data reported in CCDC’s paper to estimate distribution of the generation interval of the infection and apply the simulation results from the time delay dynamic system as well as released data from CCDC to fit the growth rate. The conclusion is: Based our Fudan-CCDC model, the growth rate r of COVID-19 is almost in [0.30, 0.32] which is larger than the growth rate 0.1 estimated by CCDC [9], and the reproductive number R0 of COVID-19 is estimated by 3.25 ≤ R0 ≤ 3.4 if we simply use R = 1 + r ∗ Tc with Tc = 7.5, which is bigger than that of SARS. Some evolutions and predictions are listed.


2020 ◽  
Vol 11 (SPL1) ◽  
pp. 1367-1373
Author(s):  
Nikhil Sanjay Mujbaile ◽  
Smita Damke

The Covid illness (COVID-19) pandemic has spread rapidly all through the world and has had a drawn-out impact. The Pandemic has done incredible damage to society and made genuine mental injury to numerous individuals. Mental emergencies frequently cause youngsters to deliver sentiments of relinquishment, despondency, insufficiency, and fatigue and even raise the danger of self-destruction. Youngsters with psychological instabilities are particularly powerless during the isolate and colonial removing period. Convenient and proper assurances are expected to forestall the event of mental and social issues. The rising advanced applications and wellbeing administrations, for example, telehealth, web-based media, versatile wellbeing, and far off intuitive online instruction can connect the social separation and backing mental and conduct wellbeing for youngsters. Because of the mental advancement qualities of youngsters, this investigation additionally outlines intercessions on the mental effect of the COVID-19 Pandemic. Further difficulties in Low Middle-Income Countries incorporate the failure to actualize successful general wellbeing estimates, for example, social separating, hand cleanliness, definitive distinguishing proof of contaminated individuals with self-disconnection and widespread utilization of covers The aberrant impacts of the Pandemic on youngster wellbeing are of extensive concern, including expanding neediness levels, upset tutoring, absence of admittance to the class taking care of plans, decreased admittance to wellbeing offices and breaks in inoculation and other kid wellbeing programs. Kept tutoring is critical for kids in Low Middle-Income Countries. Arrangement of safe situations is mainly testing in packed asset obliged schools. 


2018 ◽  
Vol 154 (2) ◽  
pp. 149-155
Author(s):  
Michael Archer

1. Yearly records of worker Vespula germanica (Fabricius) taken in suction traps at Silwood Park (28 years) and at Rothamsted Research (39 years) are examined. 2. Using the autocorrelation function (ACF), a significant negative 1-year lag followed by a lesser non-significant positive 2-year lag was found in all, or parts of, each data set, indicating an underlying population dynamic of a 2-year cycle with a damped waveform. 3. The minimum number of years before the 2-year cycle with damped waveform was shown varied between 17 and 26, or was not found in some data sets. 4. Ecological factors delaying or preventing the occurrence of the 2-year cycle are considered.


1973 ◽  
Vol 10 (6) ◽  
pp. 979-1004 ◽  
Author(s):  
J. Ross Mackay

The growth rates of 11 closed system pingos have been measured, by means of precise levelling of permanent bench marks anchored well down into permafrost, for the 1969–1972 period. As pingo growth decreases from the summit to the base, growth of the ice-core decreases from the center out to the periphery. The pingos have grown up in the bottoms of lakes which have drained rapidly and thus become exposed to permafrost aggradation. The specific site of growth is usually in a small residual pond where permafrost aggradation is retarded. The size and shape of a residual pond exercises a strong control upon the size and shape of the pingo which grows within it. The ice-core thickness equals the sum of the pingo height above the lake flat and the depth of the residual pond in which the pingo grew. Pingos tend to grow higher rather than both higher and wider. Pingos are believed to grow more by means of ice segregation than by the freezing of a pool of water. The water source, and the associated positive pore water pressure, result from permafrost aggradation in sands and silts in the lake bottom under a closed system with expulsion of pore water. The fastest growth rate of an ice-core, for the Western Arctic Coast, is estimated at about 1.5 m/yr, for the first one or two years. After that, the growth rate decreases inversely as the square root of time. The largest pingos may continue to grow for more than 1000 yr. Four growth stages are suggested. At least five pingos have commenced growth since 1935. As an estimate, probably 50 or more pingos are now growing along the coast.


2015 ◽  
Vol 207 ◽  
pp. 70-78
Author(s):  
A.S. Marakhovskiy ◽  
V.V. Glukhov ◽  
I.V. Ilin
Keyword(s):  

2013 ◽  
Vol 136 (1) ◽  
Author(s):  
Ui-Jin Jung ◽  
Gyung-Jin Park ◽  
Sunil K. Agrawal

Control problems in dynamic systems require an optimal selection of input trajectories and system parameters. In this paper, a novel procedure for optimization of a linear dynamic system is proposed that simultaneously solves the parameter design problem and the optimal control problem using a specific system state transformation. Also, the proposed procedure includes structural design constraints within the control system. A direct optimal control method is also examined to compare it with the proposed method. The limitations and advantages of both methods are discussed in terms of the number of states and inputs. Consequently, linear dynamic system examples are optimized under various constraints and the merits of the proposed method are examined.


2018 ◽  
Vol 57 (10) ◽  
pp. 1467-1493 ◽  
Author(s):  
Tamer Attia ◽  
Kyriakos G. Vamvoudakis ◽  
Kevin Kochersberger ◽  
John Bird ◽  
Tomonari Furukawa

Author(s):  
A. N. Ryahovskaya

As a result of the global financial and economic crisis, social problems have sharpened significantly. They affect the interest of the most population of the country. The efficiency of anti-recessionary measures and their productivity in the social field are analyzed in the article. According to the adjusted estimates of the RF Government, decrease in actual income of the people will continue and only by the end of 2012 a growth by only 3% to 2008 level is projected. The degree of elaboration and scientific justification of the state turnaround policy are getting special significance.


2020 ◽  
Vol 2 (4) ◽  
pp. 53
Author(s):  
Shitong Zhang

By studying human’s spiritual world earnestly and comprehensively, you can learn that human’s spiritual world is hierarchical. The spiritual world is an extremely complex dynamic system consisting of 4 interconnected hierarchies. The dynamic system is composed of cognitive system, dynamical system, reflection-controlling system and operating system. Human’s spiritual world determines people’s way of response and action. All the thoughts and behaviors of people are the result of all the subsystems in human spiritual world.


Author(s):  
Yuriy Romasevych ◽  
Viatcheslav Loveikin ◽  
Oleksandr Shevchuk

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