TY - JOUR ID - TI - Explicit Representation of Periodic Solutions and Parameter Estimation Problem of Predator-Prey System AU - Jehan Mohammed Khudhir PY - 2022 VL - 14 IS - 1 SP - 1 EP - 9 JO - Journal of Al-Qadisiyah for Computer Science and Mathematics مجلة القادسية لعلوم الحاسوب والرياضيات SN - 20740204 25213504 AB - It is known that some dynamical systems have not analytical solution which is impossible or sometime difficult to find. In fact, undertaking a manual simulation or using complicated methods (need to find derivatives such that Newton method) of such systems is a difficult task due to the complexity of the computations. Therefore, a computerized simulation is frequently required to find accurate results in fast execution time especially for solving biological problems like Predator Prey model. This paper aims to find integral representation solutions for Predator Prey model using the new method proposed by Mohammed, J. & Tyukin, I in [16]. These integral representation solutions are periodic and depend on parameters of the Predator Prey model explicitly, then, however, it requires to estimate these parameters. Application of the method to solve parameter estimation problem of predator–prey model is illustrated in details with constructing the solutions for state and parameter estimation.

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