Correlated Noises in Dynamical System with θ-Logistic Growth Process of Species

Nonlinear dynamical system with correlated noise terms is an important and potential aspect in ecological problems. We consider a dynamical system where the growth process of the species follows θ-logistic model. Multiplicative and additive noises have been incorporated to the system. We study the steady state behaviour of the dynamical system in the presence of the two noises. The effect of the correlation coefficient between the two noises on steady state has been discussed. Apart from that the impact of θ and other related parameters on the steady state is studied using numerical methods aiming at the conservation strategy of the species.