Modelling and Verification Analysis of the Predator-Prey System via a First Order Logic Approach
Consider the interaction of populations, in which there are exactly two species, one of which the predators eat the preys thereby affecting each other. In the study of this interaction Lotka-Volterra models have been used. This paper proposes a formal modelling and verification analysis methodology, which consists in representing the interaction behavior by means of a formula of the first order logic. Then, using the concept of logic implication, and transforming this logical implication relation into a set of clauses, called Skolem standard form, qualitative methods for verification (satisfiability) as well as performance issues, for some queries, are applied.
KeywordsPredator-prey system First order logic Model Verification Unsatisfiability Refutation methods
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