/diffusive-prey-predator-model

the diffusive prey-predator model is solved using the Finite Difference Method. the research article referred to is mentioned here.

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🛠 Diffusive Prey Predator Model

In this referred paper (look for the description link of this repository) the authors presented the general spatial predator-prey model that will be analyzed throughout their work. The model is defined in the one-dimensional spatial-temporal domain (0, L) x (0, T] (refer to the equation number 1 in the paper) The functions R and C are the densities of prey and predator respectively, and the prey grows according to a logistic equation.

Among the two considered models based on a set of spatial predator-prey models in biological pest control, this repository contains results for type 2 functional response only (refer to equation 3 in the paper). In these relations, a_(CR) is the attack coefficient of species C on species R and T_(hCR) is the manipulation time of species C on species R.

The following graph shows the Steady-state spatial distribution of predator resulting from model simulations with type 2 functional response for two values of the per capita mortality rate of the predator (mC = 0.0201 and mC = 0.0202) model

The code for this graph only, is provided here.