an:06154395
Zbl 1272.93123
Saraj, Mansour; Rahmani Doust, M. H.; Haghighifar, F.
The stability of Gauss model; having harvested factor
EN
Sel??uk J. Appl. Math. 13, No. 2, 3-10 (2012).
00315364
2012
j
93E12 93A30 37B35 93B18 65H10 92D40 49N75
Gauss model; growth rate model; harvested factor; linearization; Lotka-Volterra models; predator-prey models
Summary: Scientists are interesting to find out ``how to use living resources without damaging the ecosystem at the same time''. Since the living resources are limited therefore above question is one of important problems that mathematician scientists try to investigate and in appropriate ways to solve this problem. Regarding to the harvested rate is used as control parameters and moreover, the study of harvested population dynamics is more realistic. In the present paper, some predator-prey Gauss models in which two ecologically interacting species are harvested independently with constant or variable rates are considered and the behavior of locally and globally stability of their solutions is investigated. The main aim is to present a mathematical analysis for the above model. Finally we investigate some examples.