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In this work, a prey-predator model with square root response function under a state-dependent impulse is proposed.
In [10], Salman et al. have investigated the nonlinear dynamics of a discrete predator-prey model with square root functional response, obtained by applying a forward Euler discretization method to system (1.1).
Braza [19] analyzed the following predator-prey model with square root functional responses: left { textstylebegin{array}l} frac{mathrm{d}x t)}{mathrm{d}t}=x t)(1-x(t))-sqrt 1-x t}y(t), frac{mathrm{d}y(t)}{mathrm{d}t}=-sy(t)+csqrt {x(t)}y(t), end{array}displaystyle right.
Braza [11] analyzed the following predator-prey model with square root response function: left { textstylebegin{array}{l} dot{x}(t)=x t -x^{2}(t)-sqrt{x(t)}y(t), dot{y}(t)=x t -x^{2}rt -sqrt{x t, end{array}displayst -sqrt{x t
The OLS model with square root transformed response variable was selected for building up LMMs.
As shown on Figure 3 there was a high correlation between these two variables in polynomial regression model with square root transformation (R = 0.93).
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Mickens [5] considered a SIR epidemic model with square-root dynamics.
The domain model with squared terms also performed relatively well within sample in terms of RMSE and ICC.
The quadratic model (III) of Crott (2010) was included because it is considered as a non-linear model with squared terms for some QLQ-C30 domain scores.
We applied different log models, multiplicative models and models with square root transformed variables but in the end multiple linear regression performed as well as more complicated models.
In order to examine wind load combinations, fluctuating surface pressure measurements are made for flat roof building models with square or rectangular plans.
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