Biomaterial Database

A predator-prey model with infected prey. 2004

Herbert W Hethcote, and Wendi Wang, and Litao Han, and Zhien Ma

Department of Mathematics, University of Iowa, 14 MacLean Hall, Iowa City, IA 52242, USA. herbert-hethcote@uiowa.edu

A predator-prey model with logistic growth in the prey is modified to include an SIS parasitic infection in the prey with infected prey being more vulnerable to predation. Thresholds are identified which determine when the predator population survives and when the disease remains endemic. For some parameter values the greater vulnerability of the infected prey allows the predator population to persist, when it would otherwise become extinct. Also the predation on the more vulnerable prey can cause the disease to die out, when it would remain endemic without the predators.

UI	MeSH Term	Description	Entries
D008962	Models, Theoretical	Theoretical representations that simulate the behavior or activity of systems, processes, or phenomena. They include the use of mathematical equations, computers, and other electronic equipment.	Experimental Model,Experimental Models,Mathematical Model,Model, Experimental,Models (Theoretical),Models, Experimental,Models, Theoretic,Theoretical Study,Mathematical Models,Model (Theoretical),Model, Mathematical,Model, Theoretical,Models, Mathematical,Studies, Theoretical,Study, Theoretical,Theoretical Model,Theoretical Models,Theoretical Studies
D010272	Parasitic Diseases	Infections or infestations with PARASITES. They are often contracted through contact with an intermediate vector, but may occur as the result of direct exposure.	Parasite Infections,Parasitic Infections,Disease, Parasitic,Diseases, Parasitic,Infection, Parasite,Infection, Parasitic,Infections, Parasite,Infections, Parasitic,Parasite Infection,Parasitic Disease,Parasitic Infection
D011235	Predatory Behavior	Instinctual behavior pattern in which food is obtained by killing and consuming other species.	Predation,Behavior, Predatory,Predatory Behaviors
D000818	Animals	Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA.	Animal,Metazoa,Animalia