Stochastic effects in a model of nematode infection in ruminants

• Published in: IMA journal of mathematics applied in medicine and biology Vol. 15; no. 2; p. 97
• Main Authors: Marion, G, Renshaw, E, Gibson, G
• Format: Journal Article
• Language: English
• Published: England 01.06.1998
• Subjects: Animals; Cattle; Cattle Diseases - epidemiology; Cattle Diseases - immunology; Computer Simulation; Forecasting; Host-Parasite Interactions; Immunity, Active; Linear Models; Models, Biological; Nematode Infections - epidemiology; Nematode Infections - immunology; Nematode Infections - veterinary; Nonlinear Dynamics; Numerical Analysis, Computer-Assisted; Ostertagia - immunology; Ostertagia - physiology; Ostertagiasis - epidemiology; Ostertagiasis - immunology; Ostertagiasis - veterinary; Probability; Ruminants - parasitology; Seasons; Stochastic Processes

We illustrate the importance of stochastic effects in population models of biological systems and demonstrate a number of analytic and simulation-based approaches that can usefully be applied to such models. In so doing, we compare the stochastic approach to the more usual deterministic one. The mod...