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In Summers's scenario, the negative equilibrium rate would mean chronically slow growth.
The concept of independence is understood by the majority in Iran as "negative equilibrium" – an idea originally championed by Mohammad Mossadeq, the democratic prime minister who was overthrown in a CIA-engineered coup in 1953.
Because the epidemic model (1) cannot have a negative equilibrium point in real life, when s < 0 (i.e. α < β + γ ), (1) has only a disease-free equilibrium point ( N, 0, 0 ) which is stable.
More concretely, for a parameter s being slightly less than zero there are two equilibrium points: a stable point P and an unstable negative equilibrium point which coalesce at s = 0 ; for parameter s being slightly greater than zero there are also two equilibrium points: an unstable equilibrium point P and a stable positive equilibrium point Q.
The retrenchment of ECB purchases combined with the downgrade could send Portugal into a negative equilibrium in which it is unable to issue or refinance its debt at reasonable interest rates--or at all.
(3) Consider a > 0, b < 0. When Φ < 0 with |Φ| ≪ 1, 0 is unstable, and there exists a locally asymptotically stable negative equilibrium; when 0 < Φ ≪ 1, 0 is stable, and a positive unstable equilibrium appears.
Similar(54)
By using the Pontryagin maximum principle, through introduces the Hamilton function obtains of the non-negative equilibrium point most superior capture strategy.
By analyzing the corresponding characteristic equations, the local asymptotic stability of non-negative equilibrium points and the existence of flip bifurcation are discussed.
Then the economic profit of captured populations is completely controlled by the discount rates α, C, p 2. Similarly, consider the non-negative equilibrium point P 0 ( a 1 − E 1 b 1, 0 ) ( 0 < E 1 = E ≤ E m ).
Obviously, the non-negative equilibrium solutions of system (1.1) are ( K, 0 ) and ( u ∗, v ∗ ) = ( r m ( c β − a r ), α c K m ( c β − a r ) − α c r K m 2 ( c β − a r ) 2 ).
For the reaction-diffusion problem of system (1.1), i.e., α i i = 0 ( i = 1, 2 ), the global attraction, persistence and stability of non-negative equilibrium solutions are studied in [3].
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