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Persistence of predator-prey systems in an uncertain environment

✍ Scribed by Gary W. Harrison


Publisher
Springer
Year
1980
Tongue
English
Weight
767 KB
Volume
10
Category
Article
ISSN
0303-6812

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Persistence in predator-prey systems wit
✍ H.I. Freedman; R.M. Mathsen πŸ“‚ Article πŸ“… 1993 πŸ› Springer 🌐 English βš– 567 KB

Predator-prey models where one or more terms involve ratios of the predator and prey populations may not be valid mathematically unless it can be shown that solutions with positive initial conditions never get arbitrarily close to the axis in question, i.e. that persistence holds. By means of a tran

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In this study, we consider a mathematical model of two competing prey and one predator system where the prey species follow Lotka}Volterra-type dynamics and the predator uptake functions are ratio dependent. We have derived the conditions for existence of di!erent boundary equilibria and discussed t