We propose that any individual have a constant birth rate, and competes with all the individuals present in the same patch. Let ``i \in \N``,``x_i \in \{1,2,\dots,9\}``.

The competition pressure experience by individual ``i`` is such that

We propose that any individual have a constant birth rate, and competes with all the individuals present in the same patch. Assume there are ``N_t`` individuals at time ``t``.

Let ``i \in \{ 1,2,\dots,N_t\}``. ``x_{i,t} \in \{1,2,\dots,9\}`` denotes the position of the ``i``-th individual at time ``t``.

The competition pressure experienced by individual ``i`` is such that