  We present a model for a random walk with memory, phenomenologically inspired
in a biological system. The walker has the capacity to remember the time of the
last visit to each site and the step taken from there. This memory affects the
behavior of the walker each time it reaches an already visited site modulating
the probability of repeating previous moves. This probability increases with
the time elapsed from the last visit. A biological analog of the walker is a
frugivore, with the lattice sites representing plants. The memory effect can be
associated with the time needed by plants to recover its fruit load. We propose
two different strategies, conservative and explorative, as well as intermediate
cases, leading to non intuitive interesting results, such as the emergence of
cycles.
