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"Any predator capable of exerting such impact will eventually drive its prey to extinction," warns Gerardo Ceballos, an ecologist at the National Autonomous University of Mexico in Mexico City.
Cultures were maintained in the dark for ∼2 weeks (to prevent growth of D. primolecta) or until O. marina grazed the prey to extinction.
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The Red Kite has made a remarkable comeback in recent years after a sustained period of hunting over the centuries had left the bird of prey close to extinction.
(4) If the prey goes to extinction, then (exp (x t))) tends to 0 as t tends to infinity.
The statement of the lemma is equivalent the statement that if the prey goes to extinction, then the predator also goes to extinction.
From Figure 7, it can be shown that the infected prey I goes to extinction.
That is to say, if the prey population goes to extinction, the predator will also go to extinction, which is consistent with biological significance.
It shows that if the prey population goes to extinction, the predator population will also go to extinction, which is consistent with the reality.
From Figure 7, it could be concluded that if the lower threshold value (R^leq1), the infected prey could go to extinction.
In system (17), for all solutions of (x t)) ((y(t))), if (exp (x t))) ((exp (y(t)))) tends to 0 as t tends to infinity, then we say that the prey (predator) goes to extinction.
In other words, in system (1), if (tilde {x}(t)) ((tilde{y}(t))) tends to 0 as t tends to infinity, then we say that the prey (predator) goes to extinction.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com