The focus of our research and the real purpose of this paper is to compare ecological and military models. We can conclude that both, ecological and military systems are rather complex and that numerous methods, algorithms and experiences of the environment can be used in ecological as well as in military systems. This field offers many opportunities.

The behavior of the ecological and military systems can be simulated by models where sets of differential (Lanchester) equations are applied. The problem of stabilization of unstable equations systems is always presented. We proposed an extension of the classical modeling of combat via Lanchester equations. The usual coupled set of ordinary differential equations is replaced by a system of differential equations where the principle of incursive control is applied.

The mathematical theory of the stabilization of unstable equations systems and the holistic control of systems by incursion is being developed: this new incursive theory confirms the specific examples given in this paper in a more general framework.

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Marjan Vezjak