A class of competing models with discrete delay
A delayed chemostat model with impulsive diffusion and input on nutrients.
A delayed epidemic model with pulse vaccination.
A delayed mathematical model for testosterone secretion with feedback control mechanism.
A general framework for stability analysis of gene regulatory networks with delay.
A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation
In the present paper, a mathematical model, originally proposed by Danziger and Elmergreen and describing the thyroid-pituitary homeostatic mechanism, is modified and analyzed for its physiological and clinical significance. The influence of different system parameters on the stability behavior of the system is discussed. The transportation delays of different hormones in the bloodstream, both in the discrete and distributed forms, are considered. Delayed models are analyzed regarding the stability...
A predator-prey Gompertz model with time delay and impulsive perturbations on the prey.
A predator-prey model in the chemostat with time delay.
Almost periodic solution of a diffusive mixed system with time delay and type III functional response.
Analysis of a delayed SIR model with nonlinear incidence rate.
Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment.
Analysis of immunotherapy models in the context of cancer dynamics
A basic mathematical model of the immune response when cancer cells are recognized is proposed. The model consists of six ordinary differential equations. It is extended by taking into account two types of immunotherapy: active immunotherapy and adoptive immunotherapy. An analysis of the corresponding models is made to answer the question which of the presented methods of immunotherapy is better. The analysis is completed by numerical simulations which show that the method of adoptive immunotherapy...
Asymptotic properties of a hepatitis B virus infection model with time delay.