Sentence examples for competition rates from inspiring English sources
In this paper a competitive Lotka-Volterradiffusion model of two slightly different species is studied, namely, the two speciesare identical except for their intraspecific competition rates.
But it is shown that the two competition species with differentintraspecific competition rates can also coexist for bigger regions of μ,which is similar to [21].
where τ is a small positive constant (i.e., τ ≪ 1 ) and g ( x ), h ( x ) are smooth functions, which indicates that the two speciesonly have different intraspecific competition rates.
Furthermore, in [21] the system with different interspecific competition rates is given as { u t = μ Δ u + u [ a ( x ) − u − ( 1 + τ g ( x ) ) v ], x ∈ Ω, t > 0, v t = μ Δ v + v [ a ( x ) − v − ( 1 + τ h ( x ) ) u ], x ∈ Ω, t > 0. Then a new structure of coexistence states is obtained and the two species can coexisteven for bigger regions of μ.
The parameter βij in the logistic term corresponds to the interspecific competition rates.
He was the most confident going into the competition, rating his meat identification skills as EXCELLENT (his caps).
In 1993 an international competition rated Phoenix, along with Christchurch, New Zealand, the world's best-governed city.
a is the intra-specific competition rate among the mature prey; (a_{1}) is the predation rate of the mature predator; (a_{2}) is the conversion factor from the mature prey to the immature predator; (d_{1}), (d_{2}), (d_{3}), and (d_{4}) are the death rates of the immature prey, mature prey, immature predator, and mature predator, respectively.
where is the th species population density, is the growth rate of the first species that is the only producer in system (1.1), and stand for the th species intraspecific competition rate and harvesting rate, respectively, is the death rate of the th species, represents the th species predation rate on the th species, and stands for the transformation rate from the th species to the th species.
In particular, when, the extinction and permanence of this system were corresponding to some inequalities that only involve the coefficients therein, that is, permanence and extinction in this two-species system are determined only by three elements: growth rate, density dependence and interspecific competition rate.
Table 1 Symbols and their meanings of system (2.4) Parameters Meaning d(t) The popularity of information which promotes the spread of the information r(t) The intrinsic growth rate of influenced users with the same distance b The carrying capacity which is the maximum possible density of users a The intra-specific competition rate with influenced users at a given distance.
