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In Theorem 2.4, through constructing a Liapunov function, a diagonal dominance condition for the global attractivity of system (1.2) is presented.
Since a sufficient condition for the matrices {Z n } to be P-matrices is that they satisfy the diagonal dominance condition [38], then the following corollary holds.
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Moreover, we relax the dominance conditions on f and g as well.
For example, if the second positive term in eq 15 is dominant, as was assumed above, then 29 Finding the valid combinations is a tractable linear programming problem that involves solving the S-system equations (set of linear equations in log space) along with the dominance conditions (a set of linear inequalities in log space).
Numerous factors like maternal hormone levels [6], [7], [8], [9], [10], food abundance [11], [12], mate quality [13], habitat quality [14], dominance status [15], and maternal condition [16] influence the offspring SR.
If we set z ̄ j = 1 for j = 1,..., n, then we get ∑ j = 1 n p i j ( t ) ≥ ε, t ∈ [ 0, ω ], i = 1, …, n, which can be interpreted as the main diagonal dominance and condition (2.11) as its generalization.
They conducted a meta-analysis of the relationship between maternal dominance rank, condition, and birth sex ratios in ungulates using 37 studies on 18 species.
Using this representation, closed-loop diagonal dominance sufficient conditions over the uncertainty space are derived.
Community responses to the variation in cavity abundance in cavity-rich Pyrenean oak forests may therefore vary considerably among species, depending on their plasticity in nest-site use, behavioral dominance, foraging conditions or social structure.
However, when reproductive costs and extreme seasonality of resources were compared across primates, other primates demonstrated male dominance under conditions that were similar to or more challenging than those faced by lemurs.
The interaction parameter c represents the difference between the dominance effect in Condition 2 and in Condition 1, once the main effect of the environment has been accounted for (see Mather and Jinks 1977, for a similar parameterization).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com