Prey-predator models with infected prey and predators
نویسندگان
چکیده
منابع مشابه
A predator-prey model with infected prey.
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 ...
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It is known that predator-prey systems with constant rate harvesting exhibit very rich dynamics. On the other hand, incorporating time delays into predator-prey models could induce instability and bifurcation. In this paper we are interested in studying the combined effects of the harvesting rate and the time delay on the dynamics of the generalized Gause-type predator-prey models and the Wange...
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In this paper we analyse a predator-prey model where the prey population shows group defense and the prey individuals are affected by a transmissible disease. The resulting model is of the Rosenzweig-MacArthur predator-prey type with an SI (susceptible-infected) disease in the prey. Modeling prey group defense leads to a square root dependence in the Holling type II functional for the predator-...
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One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions...
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2013
ISSN: 1078-0947
DOI: 10.3934/dcds.2013.33.5059