The nonlinear predator-prey reaction diffusion systems for singularly perturbed Robin Problems are considered. Under suitable conditions, the theory of differential inequalities can be used to study the asymptotic beh...The nonlinear predator-prey reaction diffusion systems for singularly perturbed Robin Problems are considered. Under suitable conditions, the theory of differential inequalities can be used to study the asymptotic behavior of the solution for initial boundary value problems.展开更多
Based on the computerized symbolic,a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES)in a unified way.The main idea of o...Based on the computerized symbolic,a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES)in a unified way.The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions.At the same time,we present a more general transformation,which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations(NLEEs).More new exact travelling wave solutions to two nonlinear systems are explicitly obtained.展开更多
Functional response is a key index in determining the population fluctuation in predation. However, the lack of operable research system limits the studies on functional response of fungal predators. Hirsutella rhossi...Functional response is a key index in determining the population fluctuation in predation. However, the lack of operable research system limits the studies on functional response of fungal predators. Hirsutella rhossiliensis is a dominant parasite of the soybean cyst nematode, Heterodera glycines. In a soil microcosm bioassay, we determined fungal biomass at different days within 21 days after inoculation, and parasitism rate of H. glycines by the fungus was determined. The functional response of H. rhossiliensis to H. glycines was established and found to be Holling＇s type Ill, which was influenced by mycelial densities. Meanwhile, we conducted anti-fungal analysis of metabolic fractions extracted from H. rhossiliensis to explain the potential mechanism of the intraspecific competition illustrated by functional response. The result of anti-fungal experiments indicated that the fungal predators had more complicated interaction at population level than expected, which might be regulated by self-inhibition metabolite（s）. This study was the first functional response study of fungal predators in microcosm. With the in- creasing recognition of emerging fungal threats to animal, plant, and ecosystem health, the methodologies and hypotheses proposed in this study might inspire further research in fungal ecology.展开更多
文摘The nonlinear predator-prey reaction diffusion systems for singularly perturbed Robin Problems are considered. Under suitable conditions, the theory of differential inequalities can be used to study the asymptotic behavior of the solution for initial boundary value problems.
文摘Based on the computerized symbolic,a new generalized tanh functions method is used for constructing exact travelling wave solutions of nonlinear partial differential equations (PDES)in a unified way.The main idea of our method is to take full advantage of an auxiliary ordinary differential equation which has more new solutions.At the same time,we present a more general transformation,which is a generalized method for finding more types of travelling wave solutions of nonlinear evolution equations(NLEEs).More new exact travelling wave solutions to two nonlinear systems are explicitly obtained.
基金supported by the National Key Basic Research Program of China(2013CB127506)the National Natural Science Foundation of China(30800732)the National Public Benefit Research Foundation of China(200903040)
文摘Functional response is a key index in determining the population fluctuation in predation. However, the lack of operable research system limits the studies on functional response of fungal predators. Hirsutella rhossiliensis is a dominant parasite of the soybean cyst nematode, Heterodera glycines. In a soil microcosm bioassay, we determined fungal biomass at different days within 21 days after inoculation, and parasitism rate of H. glycines by the fungus was determined. The functional response of H. rhossiliensis to H. glycines was established and found to be Holling＇s type Ill, which was influenced by mycelial densities. Meanwhile, we conducted anti-fungal analysis of metabolic fractions extracted from H. rhossiliensis to explain the potential mechanism of the intraspecific competition illustrated by functional response. The result of anti-fungal experiments indicated that the fungal predators had more complicated interaction at population level than expected, which might be regulated by self-inhibition metabolite（s）. This study was the first functional response study of fungal predators in microcosm. With the in- creasing recognition of emerging fungal threats to animal, plant, and ecosystem health, the methodologies and hypotheses proposed in this study might inspire further research in fungal ecology.
