Zeitschrift für Naturforschung C · 2020 · 31 citations · 28 references
Veterinary MedicineInfectious Disease ControlInfectious DiseasesInfectious Disease EpidemiologyVirologyZoonotic Disease EpidemiologyDisease ModelingInfectious Disease DynamicsPandemic ResponsePopulation Dynamics ModelingTransmission DynamicsViral InfectionsDisease Outbreak ModelingEpidemic ModelsEpidemic Population DynamicsInfectious Disease ModelsMathematical Modeling Of EpidemicsMathematical Modeling Of Viral SpreadTransmission Dynamics ModelingZoonotic Disease Dynamics
The coronavirus is currently extremely contagious for humankind, which is a zoonotic tropical disease. The pandemic is the largest in history, affecting almost the whole world. What makes the condition the worst of all is no specific effective treatment available. In this article, we present an extended and modified form of SIR and SEIR model, respectively. We begin by investigating a simple mathematical model that describes the pandemic. Then we apply different safety measures to control the pandemic situation. The mathematical model with and without control is solved by using homotopy perturbation method. Obtained solutions have been presented graphically. Finally, we develop another mathematical model, including quarantine and hospitalization.
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Homotopy perturbation technique
Ji‐Huan He · Computer Methods in Applied Mechanics and Engineering · 1999 · 3.5K citations