log-likelihood of fully observed count data predator preferances model

1 |

`Xdst` |
matrix of sums of number of eaten prey species s during occurrence t; rows indexed by time and cols indexed by prey species, TxS |

`Ydst` |
matrix sum of number of caught prey species s during occurrence t; rows indexed by time and cols indexed by prey species, TxS |

`lambda` |
matrix of parameters representing rates predator ate prey species s in time period t; TxS |

`gamma` |
matrix of parameters representing rates traps caught prey species s in time period t; TxS |

`J` |
vector of predators caught in each time period |

`I` |
vector of number of days all traps were left out in a given time period |

`c` |
scalar in null hypotheses |

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