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Patch 1 is polluted periodically.
Then species in patch 1 would move to patch 2.
Patch 1 is occupied by population (x t)).
It is assumed that the net exchange from patch 1 to patch 2 is proportional to the pollution degree of patch 1.
(c_{e}(t)) represents the concentration of the toxicant in the system environment of patch 1.
(a/b) denotes the carrying capacity of population in the patch 1.
(a_{1}>0) represents the intrinsic growth rate of the prey population in patch 1.
(N_{2}(t)) denotes the organic concentration of the rhizosphere (patch 1).
(b) Time-series of the nutrient concentration inside the rhizosphere (patch 1).
The impulsive inputting toxicant occurs every τ period (τ is a positive constant)in patch 1.
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We appreciate Dr. Kapoor's interest in our article on the treatment of postherpetic neuralgia with the capsaicin 8%% patch [1].
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