Liénard systems and potential-Hamiltonian decomposition. III: Applications (Q869720)

The potential-Hamiltonian decomposition of a planar vector field \(X\) is a decomposition of \(X\) into a sum of a gradient vector field and a Hamiltonian vector field. The authors treated it in two previous notes [part I: ibid., No.~2, 121--126 (2007; Zbl 1111.37011) and part II: ibid., No. 3, 191-194 (2007; Zbl 1111.37010)]. Here, they apply it to several systems of differential equations that model biological systems, and discuss the benefits from doing so.