In this work we consider a simple, approximate, tending toward exact, solution of the system of two usual Lotka-Volterra differential equations. Given solution is obtained by an iterative method. In any finite approximation order of this solution, exponents of the corresponding Lotka-Volterra variables have simple, time polynomial form. When approximation order tends to infinity obtained approx...

We consider nonlinear, probability measure{valued dynamical systems that generalise those classical Lotka{Volterra equations in which, to use ecological terminology, the total size of a nite number of populations of interacting species is conserved. In our generalisation there is a \di erent species" at each point of an arbitrary measurable space. Such in nitely{many{species analogues of the cl...

Although the dynamical behavior of Lotka-Volterra systems has been studied thoroughly, there exist few results on control related aspects for these systems. We introduce controlled Lotka-Volterra systems and deal with their accessibility properties. Accessibility can be seen as a rst step towards controllability. In particular both a necessary condition and a suÆcient condition are proposed. Bo...

In this paper, we study the existence and global attractivity of positive periodic solutions of periodic n-species Lotka-Volterra competition systems. By using the method of coincidence degree and Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence of at least one strictly positive (componentwise) periodic solution of periodic n-species Lotka-Volt...

Trofik merupakan tingkatan yang menggambarkan cara suatu spesies memperoleh energi dari lingkungan. Jalur perpindahan trofik satu ke lain dikenal sebagai rantai makanan kemudian saling menjalin menjadi jaring-jaring makanan. Dalam makalah ini dibahas pemodelan matematika dua pada pemangsa generalis, yaitu dapat memakan beberapa jenis mangsa. Model dikembangkan berdasarkan model mangsa Lotka-Vol...

For a population with any given number of types, we construct a new multivariate Moran process with frequency-dependent selection and establish, analytically, a correspondence to equilibrium Lotka-Volterra phenomenology. This correspondence, on the one hand, allows us to infer the phenomenology of our Moran process based on much simpler Lokta-Volterra phenomenology, and on the other, allows us ...