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--- 2018:groups:g1:start [2018/01/09 05:00] – [Assignment] mendes
+++ 2018:groups:g1:start [2024/01/09 18:45] (current) – external edit 127.0.0.1
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 ===== Assignment =====
-Propose and analyze a mathematical model to describe the dynamics of different behavioral strategies concerning sexual canibalism in female and/or male mantids. Your model should take into account that a females can engage in sexual canibalism, and/or that males can react to canibalistic females (e.g. avoiding them).
+Propose and analyze a mathematical model to describe the dynamics of different behavioral strategies concerning sexual canibalism in female and/or male mantids. Your model should take into account that females can engage in sexual canibalism, and/or that males can react to canibalistic females (e.g. avoiding them).
 ===== Questions & Suggestions =====
-Two basic questions are (i) if/how alternative behaviors can coexist in the same population and (ii) how sexual canibalism affects the population dynamics. Although seemingly straightfoward, these questions can lead to very complicated models. To keep it simple, you can start by evaluating the invasibility of an homogeneous population by an alternative strategy. For instance:
+Two basic questions are (i) if/how alternative behaviors can coexist in the same population and (ii) how sexual canibalism affects the population dynamics. Although seemingly straightfoward, these questions can lead to very complicated models. To keep it simple, you can start by evaluating the invasibility of an homogeneous population by an alternative strategy (that is: does a small population of invasors grow?). For instance:
   * Will a population with only non-canibalistic females be invasible by canibalistic females?
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   * Lawrence, S. E. "Sexual cannibalism in the praying mantid, Mantis religiosa: a field study." Animal Behaviour 43.4 (1992): 569-583.[[http://www.sciencedirect.com/science/article/pii/S0003347205810176]]
   * Barry, Katherine L., Gregory I. Holwell, and Marie E. Herberstein. "Female praying mantids use sexual cannibalism as a foraging strategy to increase fecundity." Behavioral Ecology 19.4 (2008): 710-715.[[https://academic.oup.com/beheco/article/19/4/710/201821]]
+===== 15/01/18 =====
+Initial Brainstorm:
+  * We need to model the strategies of the population
+  * Graph on the temporal evolution of frequencies
+  * If cannibalistic can invade non-cannibalistic, and vice-versa, than both strategies can exist
+  * Two different strategies can coexist, and in this kind of systems they were reported to coexist, but there is no apparent reason why would this happen in this situation
+  * What determines if a strategy can invade the other is just the beginning of the strategy
+  * [Rebouças] We probably need 3 DOEs (male, female-1, female-2 or male-1, male-2, female). And a model for each kind of question (2 models)
+  * [Pollo] Fitness can be situation-dependent
+  * [Rebouças] Fitness doesn't need to be explicit in the model, but can be derived from it