Allee effect and parasitism are common biological phenomena observed in nature. In this paper, we consider a discrete-time Host-Parasitiod model with and without Allee effect. We list all the possible equilibrium points of our Host-Parasitoid model. And we analyze the conditions under which our model is stable or unstable in both the cases.

In this paper, we propose a mathematical model on deforestation due to human population using a system of stochastic difference equations. Then we include the control variable to the system of difference equations. First, we analyze the controllability of the proposed model. We can see that the desired objective can be achieved by manipulating the chosen control variables. And then we analyze that the model is controllable at the origin.

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