ISSN:
1432-1416
Keywords:
Predator-prey system
;
Loop
;
Stability
;
Boundedness
;
Oscillations
Source:
Springer Online Journal Archives 1860-2000
Topics:
Biology
,
Mathematics
Notes:
Abstract The paper considers the classical Volterra system of n (⩾ 3) species in predator-prey relation forming a loop, and derives some global properties of its solutions. Sufficient conditions for global asymptotic stability in terms of parameters are obtained, and also the region of global boundedness in the parameter space is indicated. Lastly a three species system is discussed in detail in relation to its global stability, unboundedness of solutions, existence of periodic and non-periodic oscillations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00275505
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