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Some global results on quasipolynomial discrete systems. (English) Zbl 1130.39300
Summary: The quasipolynomial (QP) generalization of Lotka–Volterra discrete-time systems is considered. Use of the QP formalism is made for the investigation of various global dynamical properties of QP discrete-time systems including permanence, attractivity, dissipativity and chaos. The results obtained generalize previously known criteria for discrete Lotka–Volterra models.

##### MSC:
 39A11 Stability of difference equations (MSC2000) 39A10 Additive difference equations 39A12 Discrete version of topics in analysis
##### Keywords:
quasipolynomial; Lotka–Volterra; discrete; global properties
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