Mathematical analysis of stochastic epidemic model of MERS-corona & application of ergodic theory.

The "Middle East Respiratory" (MERS-Cov) is among the world's dangerous diseases that still exist. Presently it is a threat to Arab countries, but it is a horrible prediction that it may propagate like COVID-19. In this article, a stochastic version of the epidemic model, MERS-Cov, is presented.

Impact of pangolin bootleg market on the dynamics of COVID-19 model.

In this paper we consider ant-eating pangolin as a possible source of the novel corona virus (COVID-19) and propose a new mathematical model describing the dynamics of COVID-19 pandemic. Our new model is based on the hypotheses that the pangolin and human populations are divided into measurable partitions and also incorporates pangolin bootleg market or reservoir. First we study the important mathematical properties like existence, boundedness and positivity of solution of the proposed model.

Sobolev's embedding on time scales.

For , the embeddings of Sobolev spaces of functions defined on an open subset of an arbitrary time scale , , endowed with the Lebesgue Δ-measure have been developed in (Agarwal et al. in Adv. Differ.