ELIZA

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321496 occurrences (No.66 in the rank) during 5 years in the PubMed. [cache]

138) We delineate the conditions under which a spreading species may be stopped by poor quality habitat, and demonstrate how a species can escape a region of poor quality habitat by climbing a resource gradient to good quality habitat where it spreads at a constant spreading speed.

--- ABSTRACT ---

PMID:24562814 DOI:10.1007/s00285-014-0766-y

2015 Journal of mathematical biology

* Success, failure, and spreading speeds for invasions on spatial gradients.

- We study a model that describes the spatial spread of a species along a habitat gradient on which the species' growth increases. Mathematical analysis is provided to determine the spreading dynamics of the model. We demonstrate that the species may succeed or fail in local invasion depending on the species' growth function and dispersal kernel. We delineate the conditions under which a spreading species may be stopped by poor quality habitat, and demonstrate how a species can escape a region of poor quality habitat by climbing a resource gradient to good quality habitat where it spreads at a constant spreading speed. We show that dispersal may take the species from a good quality region to a poor quality region where the species becomes extinct. We also provide formulas for spreading speeds for the model that are determined by the dispersal kernel and linearized growth rates in both directions.

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[frequency of next (right) word to under]

(1)95 the	(18)4 these	(35)2 axial	(52)2 of
(2)13 different	(19)3 high	(36)2 censoring	(53)2 optimal
(3)12 a	(20)3 investigation	(37)2 clinical	(54)2 physiological
(4)9 general	(21)3 light	(38)2 consideration	(55)2 pulsatile
(5)8 both	(22)3 local	(39)2 controlled	(56)2 scanning
(6)8 which	(23)3 mechanical	(40)2 current	(57)2 serum-free
(7)7 various	(24)2 null	(41)2 evaluation	(58)2 several
(8)6 conditions	(25)2 12	(42)2 ex	(59)2 simulated
(9)6 curve	(26)2 15	(43)2 extreme	(60)2 specific
(10)6 static	(27)2 2	(44)2 four	(61)2 steady-state
(11)5 and	(28)2 CA	(45)2 hypertensive	(62)2 therapy
(12)4 5	(29)2 CT	(46)2 hypoxia	(63)2 this
(13)4 certain	(30)2 H2O2-induced	(47)2 hypoxic	(64)2 time
(14)4 control	(31)2 UV	(48)2 inflammatory	(65)2 treatment
(15)4 either	(32)2 acute	(49)2 laser	(66)2 ultrasound
(16)4 in	(33)2 additive	(50)2 lateral	(67)2 vertical
(17)4 normal	(34)2 adverse	(51)2 mortality	(68)2 water

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--- WordNet output for under --- =>以下の, (治療, 試練, 刑罰)を受けて, 下部の, の下に, ・・の下に Overview of adj under The adj under has 2 senses (first 2 from tagged texts) 1. (2) nether, under -- (located below or beneath something else; "nether garments"; "the under parts of a machine") 2. (1) under -- (lower in rank, power, or authority; "an under secretary") Overview of adv under The adv under has 8 senses (first 1 from tagged texts) 1. (2) under -- (down to defeat, death, or ruin; "their competitors went under") 2. under -- (through a range downward; "children six and under will be admitted free") 3. under -- (into unconsciousness; "this will put the patient under") 4. under -- (in or into a state of subordination or subjugation; "we must keep our disappointment under") 5. under -- (below some quantity or limit; "fifty dollars or under") 6. under -- (below the horizon; "the sun went under") 7. under -- (down below; "get under quickly!") 8. under, below -- (further down; "see under for further discussion") --- WordNet end ---