2017:groups:g4:start
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| 2017:groups:g4:start [2017/01/21 23:26] – group4 | 2017:groups:g4:start [2024/01/09 18:45] (current) – external edit 127.0.0.1 | ||
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| If you are a group member login to edit this page, create new pages from it, and upload files. | If you are a group member login to edit this page, create new pages from it, and upload files. | ||
| - | ===== Matrix ===== | ||
| - | < | ||
| - | J = | ||
| - | |||
| - | [ (r*((m*(b + h))/(k*(a*h - a*g*m*(b + h))) - 1))/ | ||
| - | [ -r*((m*(b + h))/(k*(a*h - a*g*m*(b + h))) - 1), - b - h, (m*(b + h))/h] | ||
| - | [ | ||
| - | </ | ||
| ===== Introduction ===== | ===== Introduction ===== | ||
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| * Along the same lines, can beetles persist preying on ants in the absence of the parasitoid flies? | * Along the same lines, can beetles persist preying on ants in the absence of the parasitoid flies? | ||
| * How does the behavior of parasitized ants alter the costs and benefits of predation and parasitism, from the point of view of the ant colony? For instance, if parasitized ants are still productive workers, the cost of being parasitized can be smaller than the benefit provided by predation. | * How does the behavior of parasitized ants alter the costs and benefits of predation and parasitism, from the point of view of the ant colony? For instance, if parasitized ants are still productive workers, the cost of being parasitized can be smaller than the benefit provided by predation. | ||
| + | |||
| + | ===== Questions ===== | ||
| + | Do parasitized ants go back to the colony? | ||
| + | |||
| + | ===== References ===== | ||
| + | {{ https:// | ||
| + | * Mathis, K. A., and N. D. Tsutsui 2016 Dead ant walking: a myrmecophilous beetle predator uses parasitoid host location cues to selectively prey on parasitized ants. Proceedings of the Royal Society of London B 283:2016 1281 | ||
| + | * Video of phorid flies in action: https:// | ||
| + | |||
| + | ====== Results ====== | ||
| + | |||
| + | ===== Matrix ===== | ||
| + | < | ||
| + | J = | ||
| + | |||
| + | [ (r*((m*(b + h))/(k*(a*h - a*g*m*(b + h))) - 1))/ | ||
| + | [ -r*((m*(b + h))/(k*(a*h - a*g*m*(b + h))) - 1), - b - h, (m*(b + h))/h] | ||
| + | [ | ||
| + | </ | ||
| ===== Biological scenario and assumptions ===== | ===== Biological scenario and assumptions ===== | ||
| Line 51: | Line 62: | ||
| The stability criterion gives a minimum predation rate performed by beetles. If we are over that minimum level, bettles are eating so many infected ants, so that affects flies and normal ants have no problem in converging to the capacity (asymptotic stability). | The stability criterion gives a minimum predation rate performed by beetles. If we are over that minimum level, bettles are eating so many infected ants, so that affects flies and normal ants have no problem in converging to the capacity (asymptotic stability). | ||
| - | If \mu(fly death rate) is greater, then the minimum rate is smaller and it is easier to normal ants to converge to capacity. Similar result is true, considering the parameter \gamma (incubation rate). | + | If \mu(fly death rate) is greater, then the minimum |
| - | If we are below the minimum level of predation rate, then there exists a coexistence equilibrium, | + | If we are below the minimum level of predation rate, then there exists a coexistence equilibrium, |
| Formally, If \mu (fly death rate),\b (predation rate), are greater then the equilibrium number of ants N^* is bigger. If \alpha (attack rate of flies) is greater, then N^* is smaller. | Formally, If \mu (fly death rate),\b (predation rate), are greater then the equilibrium number of ants N^* is bigger. If \alpha (attack rate of flies) is greater, then N^* is smaller. | ||
| Line 198: | Line 209: | ||
| // | // | ||
| - | ===== Questions ===== | ||
| - | Do parasitized ants go back to the colony? | ||
| - | ===== References ===== | ||
| - | {{ https:// | ||
| - | * Mathis, K. A., and N. D. Tsutsui 2016 Dead ant walking: a myrmecophilous beetle predator uses parasitoid host location cues to selectively prey on parasitized ants. Proceedings of the Royal Society of London B 283:2016 1281 | ||
| - | * Video of phorid flies in action: https:// | ||
| ===== Reading List ===== | ===== Reading List ===== | ||
| Line 210: | Line 215: | ||
| Switching, Functional Response, and Stability in Predator-Prey Systems. | Switching, Functional Response, and Stability in Predator-Prey Systems. | ||
| + | |||
| + | ===== Group presentantion ===== | ||
| + | |||
| + | * [[http:// | ||
| + | |||
2017/groups/g4/start.1485041198.txt.gz · Last modified: 2024/01/09 18:45 (external edit)