Global Analysis and Optimal Control Model of COVID-19. 2022

Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
Deparment of Mathematics and Information Technology, Valley View University, Ghana.

COVID-19 remains the concern of the globe as governments struggle to defeat the pandemic. Understanding the dynamics of the epidemic is as important as detecting and treatment of infected individuals. Mathematical models play a crucial role in exploring the dynamics of the outbreak by deducing strategies paramount for curtailing the disease. The research extensively studies the SEQIAHR compartmental model of COVID-19 to provide insight into the dynamics of the disease by underlying tailored strategies designed to minimize the pandemic. We first studied the noncontrol model's dynamic behaviour by calculating the reproduction number and examining the two nonnegative equilibria' existence. The model utilizes the Castillo-Chavez method and Lyapunov function to investigate the global stability of the disease at the disease-free and endemic equilibrium. Sensitivity analysis was carried on to determine the impact of some parameters on R 0. We further examined the COVID model to determine the type of bifurcation that it exhibits. To help contain the spread of the disease, we formulated a new SEQIAHR compartmental optimal control model with time-dependent controls: personal protection and vaccination of the susceptible individuals. We solved it by utilizing Pontryagin's maximum principle after studying the dynamical behaviour of the noncontrol model. We solved the model numerically by considering different simulation controls' pairing and examined their effectiveness.

UI MeSH Term Description Entries
D003198 Computer Simulation Computer-based representation of physical systems and phenomena such as chemical processes. Computational Modeling,Computational Modelling,Computer Models,In silico Modeling,In silico Models,In silico Simulation,Models, Computer,Computerized Models,Computer Model,Computer Simulations,Computerized Model,In silico Model,Model, Computer,Model, Computerized,Model, In silico,Modeling, Computational,Modeling, In silico,Modelling, Computational,Simulation, Computer,Simulation, In silico,Simulations, Computer
D006801 Humans Members of the species Homo sapiens. Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000086382 COVID-19 A viral disorder generally characterized by high FEVER; COUGH; DYSPNEA; CHILLS; PERSISTENT TREMOR; MUSCLE PAIN; HEADACHE; SORE THROAT; a new loss of taste and/or smell (see AGEUSIA and ANOSMIA) and other symptoms of a VIRAL PNEUMONIA. In severe cases, a myriad of coagulopathy associated symptoms often correlating with COVID-19 severity is seen (e.g., BLOOD COAGULATION; THROMBOSIS; ACUTE RESPIRATORY DISTRESS SYNDROME; SEIZURES; HEART ATTACK; STROKE; multiple CEREBRAL INFARCTIONS; KIDNEY FAILURE; catastrophic ANTIPHOSPHOLIPID ANTIBODY SYNDROME and/or DISSEMINATED INTRAVASCULAR COAGULATION). In younger patients, rare inflammatory syndromes are sometimes associated with COVID-19 (e.g., atypical KAWASAKI SYNDROME; TOXIC SHOCK SYNDROME; pediatric multisystem inflammatory disease; and CYTOKINE STORM SYNDROME). A coronavirus, SARS-CoV-2, in the genus BETACORONAVIRUS is the causative agent. 2019 Novel Coronavirus Disease,2019 Novel Coronavirus Infection,2019-nCoV Disease,2019-nCoV Infection,COVID-19 Pandemic,COVID-19 Pandemics,COVID-19 Virus Disease,COVID-19 Virus Infection,Coronavirus Disease 2019,Coronavirus Disease-19,SARS Coronavirus 2 Infection,SARS-CoV-2 Infection,Severe Acute Respiratory Syndrome Coronavirus 2 Infection,COVID19,2019 nCoV Disease,2019 nCoV Infection,2019-nCoV Diseases,2019-nCoV Infections,COVID 19,COVID 19 Pandemic,COVID 19 Virus Disease,COVID 19 Virus Infection,COVID-19 Virus Diseases,COVID-19 Virus Infections,Coronavirus Disease 19,Disease 2019, Coronavirus,Disease, 2019-nCoV,Disease, COVID-19 Virus,Infection, 2019-nCoV,Infection, COVID-19 Virus,Infection, SARS-CoV-2,Pandemic, COVID-19,SARS CoV 2 Infection,SARS-CoV-2 Infections,Virus Disease, COVID-19,Virus Infection, COVID-19
D000090005 Epidemiological Models Mathematical models of the transmission of infectious diseases. They predict spread of a disease by incorporating disease-related (e.g., infectious agent, mode of transmission, latent period, infectious period) and abiotic factors (e.g., social, cultural, demographic, and geographic factors). Communicable Disease Models,Compartmental Models,Models, Epidemiological,SIR Models,SIS Model,Susceptible Infected Recovered Models,Susceptible Infected Susceptible Model,Communicable Disease Model,Compartmental Model,Disease Model, Communicable,Epidemiological Model,Model, Communicable Disease,Model, Compartmental,Model, Epidemiological,Model, SIS,SIR Model,SIS Models
D014611 Vaccination Administration of vaccines to stimulate the host's immune response. This includes any preparation intended for active immunological prophylaxis. Immunization, Active,Active Immunization,Active Immunizations,Immunizations, Active,Vaccinations
D016358 Contact Tracing Identification of those persons (or animals) who have had such an association with an infected person, animal, or contaminated environment as to have had the opportunity to acquire the infection. Close Contact Epidemiology,Communicable Disease Contact Tracing,Contact Investigation,Contact Screening,Index Case Epidemiology,Index Patient Epidemiology,Infectious Disease Contact Tracing,Notification, Partner,PUI Epidemiology,Partner Notification,Patient Zero Epidemiology,Person Under Investigation Epidemiology,Epidemiology, Close Contact,Epidemiology, Index Case,Epidemiology, Index Patient,Epidemiology, PUI,Epidemiology, Patient Zero,Investigation, Contact,Partner Notifications,Screening, Contact,Tracing, Contact
D050936 Basic Reproduction Number The expected number of new cases of an infection caused by an infected individual, amongst susceptible contacts only. Basic Reproductive Number,Basic Reproductive Ratio,Effective Reproduction Number,Effective Reproductive Number,R0 Basic Reproduction Number,RE Effective Reproduction Number,Re Effective Reproductive Number,Transmissibility Measures,Basic Reproduction Ratio,Basic Reproductive Rate,Basic Reproductive Numbers,Basic Reproductive Rates,Basic Reproductive Ratios,Effective Reproduction Numbers,Effective Reproductive Numbers,Rate, Basic Reproductive,Reproduction Number, Basic,Reproduction Number, Effective,Reproduction Ratio, Basic,Reproductive Number, Basic,Reproductive Number, Effective,Reproductive Rate, Basic,Reproductive Rates, Basic,Reproductive Ratio, Basic,Transmissibility Measure
D058873 Pandemics Epidemics of infectious disease that have spread to many countries, often more than one continent, and usually affecting a large number of people. Pandemic

Related Publications

Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
January 2021, Optimal control applications & methods,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
January 2022, Informatics in medicine unlocked,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
November 2022, Results in physics,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
January 2023, Risk analysis : an official publication of the Society for Risk Analysis,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
January 2022, European physical journal plus,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
March 2021, Results in physics,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
February 2024, Heliyon,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
January 2022, Informatics in medicine unlocked,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
March 2023, Pattern recognition,
Sacrifice Nana-Kyere, and Francis Agyei Boateng, and Paddy Jonathan, and Anthony Donkor, and Glory Kofi Hoggar, and Banon Desmond Titus, and Daniel Kwarteng, and Isaac Kwasi Adu
October 2022, Mathematics and computers in simulation,
Copied contents to your clipboard!