A note on the global stability and bifurcation phenomenon of a Lotka-Volterra food chain.
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Abstract In this short note, we shall describe the behavior of a Lotka-Volterra food chain with a carrying capacity in the first species. The results we obtained will provide answers to the questions raised in Smith (1974), Freedman & Waltman (1977) and Gard & Hallam (1978).
[1] John Maynard Smith. Models in ecology , 1974 .
[2] H. I. Freedman,et al. Mathematical analysis of some three-species food-chain models , 1977 .
[3] B. Goh. Global Stability in Many-Species Systems , 1977, The American Naturalist.