We propose a new type of diffuse interface model describing the evolution tumor mass under effects chemical substance (e.g., nutrient or drug). The process is described by utilizing variables ?, an order parameter representing local proportion cells, and ?, concentration chemical. ? assumed to satisfy suitable form Cahn–Hilliard equation with source logarithmic potential Flory–Huggins (or gener...

We describe the growth dynamics of a stock using stochastic differential equations with generalized logistic model which encompasses several well-known functions as special cases. For each model, we compute optimal variable effort policy and compare expected net present value total profit earned by harvester among policies. In addition, further extend study to include parameters sensitivity, su...

The mathematical modeling and analysis of within-host or between-host coronavirus disease 2019 (COVID-19) dynamics are considered robust tools to support scientific research. Severe acute respiratory syndrome 2 (SARS-CoV-2) is the cause COVID-19. This paper proposes investigates a COVID-19 model with latent infection, logistic growth healthy epithelial cells humoral (antibody) immune response. ...

As the function of decomposition fungi has been clearly researched in global carbon cycle, it is obviously value to explore rate fungal populations. This study analyzed relationship between environmental factors and biodiversity step by step. In order interaction with time, model based on Logistic was built Lotka-Volterra employed condition two kinds existing an environment limited resources. T...