In this paper,epidemnic diseases among pests are assumed to occur,so pests are divided into susceptible pests and infected pests,and only susceptible pests are harmful to crops.Considering spraying pesticides and rele...In this paper,epidemnic diseases among pests are assumed to occur,so pests are divided into susceptible pests and infected pests,and only susceptible pests are harmful to crops.Considering spraying pesticides and releasing of natural enermies and infected pests to control pests,as well as the long-term application of the same pesticide to induce resistance,an integrated pest management with pesticide resistance is established.The pollution emission model is introduced to model the action process of pesticides,which well reflects its residual and delay effects.By using comparison theorem of impulsive differential equation and analysis method,the threshold condition for eradication of susceptible pests is obtained.Then we analyze the frequency of spraying pesticide on the success of pests control.It shows that it is not that the more frequently pesticides are applied,the better the result of the susceptible pests control is.From the sensitivity analysis,the key factors on the threshold are obtained.Finally,the strategies to control susceptible pests are given,including switching pesticides and releasing infected pests and natural enemies elastically.展开更多
For symmetric tensors,computing generalized eigenvalues is equivalent to a homogenous polynomial optimization over the unit sphere.In this paper,we present an adaptive trustregion method for generalized eigenvalues of...For symmetric tensors,computing generalized eigenvalues is equivalent to a homogenous polynomial optimization over the unit sphere.In this paper,we present an adaptive trustregion method for generalized eigenvalues of symmetric tensors.One of the features is that the trust-region radius is automatically updated by the adaptive technique to improve the algorithm performance.The other one is that a projection scheme is used to ensure the feasibility of all iteratives.Global convergence and local quadratic convergence of our algorithm are established,respectively.The preliminary numerical results show the efficiency of the proposed algorithm.展开更多
基金This work was supported by the National Natural Science Foundation of China(11371030)the Natural Science Foundation of Liaoning Province(20170540001)。
文摘In this paper,epidemnic diseases among pests are assumed to occur,so pests are divided into susceptible pests and infected pests,and only susceptible pests are harmful to crops.Considering spraying pesticides and releasing of natural enermies and infected pests to control pests,as well as the long-term application of the same pesticide to induce resistance,an integrated pest management with pesticide resistance is established.The pollution emission model is introduced to model the action process of pesticides,which well reflects its residual and delay effects.By using comparison theorem of impulsive differential equation and analysis method,the threshold condition for eradication of susceptible pests is obtained.Then we analyze the frequency of spraying pesticide on the success of pests control.It shows that it is not that the more frequently pesticides are applied,the better the result of the susceptible pests control is.From the sensitivity analysis,the key factors on the threshold are obtained.Finally,the strategies to control susceptible pests are given,including switching pesticides and releasing infected pests and natural enemies elastically.
基金supported in part by the NNSF of China(11171003)the Innovation Talent Training Program of Science and Technology of Jilin Province of China(20180519011JH)+2 种基金the Science and Technology Development Project Program of Jilin Province(20190303132SF)The research of Mingyuan Cao is partially supported by the Project of Education Department of Jilin Province(JJKH20200028KJ)The research of Qingdao Huang is partially supported by the NNSF of China(11171131).
文摘For symmetric tensors,computing generalized eigenvalues is equivalent to a homogenous polynomial optimization over the unit sphere.In this paper,we present an adaptive trustregion method for generalized eigenvalues of symmetric tensors.One of the features is that the trust-region radius is automatically updated by the adaptive technique to improve the algorithm performance.The other one is that a projection scheme is used to ensure the feasibility of all iteratives.Global convergence and local quadratic convergence of our algorithm are established,respectively.The preliminary numerical results show the efficiency of the proposed algorithm.
