8 papers
Complete maximum likelihood estimation for SEIR epidemic models: theoretical development
Divine Wanduku, Chinmoy Rahul
We present a class of SEIR Markov chain models for infectious diseases observed over discrete time in a random human population living in a closed environment. The population chang…
On a family of stochastic SVIR influenza epidemic models and maximum likelihood estimation
Divine Wanduku
This study presents a family of stochastic models for the dynamics of influenza in a closed human population. We consider treatment for the disease in the form of vaccination, and…
A study of the persistence and extinction of malaria in a family of epidemic models
Divine Wanduku, Broderick Oluyede
This paper investigates the deterministic extinction and permanence of a family of SEIRS malaria models with multiple random delays, and with a general nonlinear incidence rate. Th…
The stochastic extinction and stability conditions for a class of malaria epidemic models
Divine Wanduku
The stochastic extinction and stability in the mean of a family of SEIRS malaria models with a general nonlinear incidence rate is presented. The dynamics is driven by independent…
A comparative stochastic and deterministic study of a class of epidemic dynamic models for malaria: exploring the impacts of noise on eradication and persistence of disease
Divine Wanduku
A comparative stochastic and deterministic study of a family of SEIRS epidemic dynamic models for malaria is presented. The family type is determined by the qualitative behavior of…
The stochastic permanence of malaria, and the existence of a stationary distribution for a class of malaria models
Divine Wanduku
This paper investigates the stochastic permanence of malaria and the existence of a stationary distribution for the stochastic process describing the disease dynamics over sufficie…