Here, g > 0 is the death rate of the predator, a, c, m, and f are positive constants that stand for prey intrinsic growth rate, capturing rate, half capturing saturation constant, and conversion rate, respectively.
(1.2) where a, K, c, m, f, d are positive constants that stand for prey intrinsic growth rate, carrying capacity, capturing rate, half capturing saturation constant, conversion rate, predator death rate, respectively.
The associated ratio-dependent form of the Holling type III functional response is (frac{b_{1}x^{2}(t y(t)}{x^{2}(t)+my^{2}(t)}), where (b_{1}) stands for the conversion rates, m for half capturing saturation [11].
where x 1 and x 2 denote prey and predator densities, respectively; r, K, α, β, d, γ are positive constants that stand for prey intrinsic growth rate, carrying capacity, conversion rate, half capturing saturation, the death rate of the predator, the harvesting rate of the predator, respectively.
But the more cohesive first half captures the terrible and exciting momentum of ambitious youth, and the awful feeling that everything is possible and it's all slipping away.
The parameters r, K, (a_{1}), (a_{2}), d and m are positive constants representing the prey intrinsic growth rate, carrying capacity, capturing rate, conversion rate, the predator death rate and half capturing saturation constant, respectively.
Assuming that half the low-cost carriers' growth comes from stimulating the market and half is captured from the big airlines, he reckons that the upstarts will grow from 10% of the European market today to around 33% by 2010.
In New Jersey, more than half of captured landfill methane is now used.
Lin's stunning success with the Knicks over the last week and a half has captured the imagination of the Chinese, from Communist Party bosses to the often-persecuted Christian minority.
The other, more personal, half is captured by social video sites.
While every sitting vice president who sought it in the last half-century captured his party's nomination, Mr. Biden would start as the underdog if he ran against Mrs. Clinton, the former secretary of state.
