How should dispersal strategies be chosen to increase the likelihood of survival of a species? We obtain the answer for the spatially extended versions of three well-known models of two competing species with unequal diffusivities. Though identical at the mean-field level, the three models exhibit drastically different behavior leading to different optimal strategies for survival . When intra-species competition is present, faster dispersal is advantageous . With conserved total particle number, dispersal has no effect on survival probability , while with birth-death fluctuations present, moving slower is the optimal strategy for the weaker species : it is imperative to include fluctuations to properly formulate survival strategies.
How should dispersal strategies be chosen to increase the likelihood of survival of a species? We obtain the answer for the spatially extended versions of three well-known models of two competing species with unequal diffusivities. Though identical at the mean-field level, the three models exhibit drastically different behaviour leading to different optimal strategies for survival , with or without a selective advantage for one species . With conserved total particle number, dispersal has no effect on survival probability . With a fluctuating number, faster dispersal is advantageous if intra-species competition is present, while moving slower is the optimal strategy for the disadvantaged species if there is no intra-species competition : it is imperative to include fluctuations to properly formulate survival strategies.
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behavior
behaviour
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. When intra-species competition is present, faster dispersal is advantageous
, with or without a selective advantage for one species
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, while with birth-death fluctuations present,
. With a fluctuating number, faster dispersal is advantageous if intra-species competition is present, while
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weaker species
disadvantaged species if there is no intra-species competition