Model Matematika Penyebaran Penyakit Demam Berdarah

Di dalam paper ini dibahas model matematika deterministik untuk penyebaranpenyakit demam berdarah. Ambang batas epidemik dapat ditentukan sebagaifungsi dari pertumbuhan nyamuk Aedes aegypti. Pertumbuhan nyamuk ini jugamenentukan kestabilan dari state bebas demam berdarah dan state endemikdemam berdarah. Analisis selanjutnya memperlihatkan bahwa pengontrolanepidemik yang efektif adalah dengan cara mengontrol pertumbuhan nyamuktersebut secara periodik

SEIR Mathematical Model of Convalescent Plasma Transfusion to Reduce COVID-19 Disease Transmission

In some diseases, due to the restrictive availability of vaccines on the market (e.g., during the early emergence of a new disease that may cause a pandemic such as COVID-19), the use of plasma transfusion is among the available options for handling such a disease. In this study, we developed an SEIR mathematical model of disease transmission dynamics, considering the use of convalescent plasma transfusion (CPT). In this model, we assumed that the effect of CPT increases patient survival or, equivalently, leads to a reduction in the length of stay during an infectious period. We attempted to answer the question of what the effects are of different rates of CPT applications in decreasing the number of infectives at the population level. Herein, we analyzed the model using standard procedures in mathematical epidemiology, i.e., finding the trivial and non-trivial equilibrium points of the system including their stability and their relation to basic and effective reproduction numbers. We showed that, in general, the effects of the application of CPT resulted in a lower peak of infection cases and other epidemiological measures. As a consequence, in the presence of CPT, lowering the height of an infective peak can be regarded as an increase in the number of remaining healthy individuals; thus, the use of CPT may decrease the burden of COVID-19 transmission