12 citations · 31 across the 6 of their papers we have counts for
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…
Some asymptotic properties of SEIRS models with nonlinear incidence and random delays
Divine Wanduku
TThis paper presents the dynamics of mosquitoes and humans, with general nonlinear incidence rate and multiple distributed delays for the disease. The model is a SEIRS system of de…
Analyzing the qualitative properties of white noise on a family of infectious disease models in a highly random environment
Divine Wanduku
A class of stochastic vector-borne infectious disease models is derived and studied. The class type is determined by a general nonlinear incidence rate of the disease. The disease…