scholarly journals Controlling crop pest with a farming awareness based integrated approach and optimal control

Author(s):  
Teklebirhan Abraha ◽  
Fahad Al Basir ◽  
Legesse Lemecha Obsu ◽  
Delfim F. M. Torres
2019 ◽  
Vol 461 ◽  
pp. 59-67 ◽  
Author(s):  
Fahad Al Basir ◽  
Arnab Banerjee ◽  
Santanu Ray

2020 ◽  
Vol 13 (06) ◽  
pp. 2050047
Author(s):  
Fahad Al Basir

Farming awareness is an important measure for pest controlling in agricultural practice. Time delay in controlling pest may affect the system. Time delay occurs in organizing awareness campaigns, also time delay may takes place in becoming aware of the control strategies or implementing suitable controlling methods informed through social media. Thus we have derived a mathematical model incorporating two time delays into the system and Holling type-II functional response. The existence and the stability criteria of the equilibria are obtained in terms of the basic reproduction number and time delays. Stability changes occur through Hopf-bifurcation when time delays cross the critical values. Optimal control theory has been applied for cost-effectiveness of the delayed system. Numerical simulations are carried out to justify the analytical results. This study shows that optimal farming awareness through radio, TV etc. can control the delay induced bifurcation in a cost-effective way.


1983 ◽  
Vol 105 (3) ◽  
pp. 576-584 ◽  
Author(s):  
M. Chew ◽  
F. Freudenstein ◽  
R. W. Longman

The synthesis of the parameters governing the dynamic response of high-speed cam-follower systems ideally involves an integrated approach capable of carrying out the tradeoffs necessary to achieve optimum dynamic response in the design stage. These trade-offs involve a balance between the system characteristics at the output and at the cam-follower interface. In this investigation optimal-control theory has been demonstrated to be a useful tool in developing such a tradeoff. Part 1 describes the development of an optimization criterion while Part 2 describes the application of optimal-control theory to the evaluation of system parameters satisfying the optimization criterion.


2021 ◽  
Vol 18 (5) ◽  
pp. 5364-5391
Author(s):  
Teklebirhan Abraha ◽  
◽  
Fahad Al Basir ◽  
Legesse Lemecha Obsu ◽  
Delfim F. M. Torres ◽  
...  

2021 ◽  
Author(s):  
M. H. Noor ◽  
Fahad Al Basir

Abstract In this article, we have established a mathematical model using impulsive differential equations for the dynamics of crop pest management in the presence of a pest with its predator and bio-pesticides. The pest population is divided into two subpopulations, namely, the susceptible pests and the infected pests. In this control process, bio-pesticides (generally virus) infect the susceptible pest through viral infection within the pest and make it infected so that predators can consume it quickly. We assume that pest controlling, using this integrated approach, is a delayed process and thus incorporated latent time of susceptible pest and gestation delay of predator in the model as time delay parameters. The system dynamics have been analyzed using qualitative theory: the existence of the equilibrium points and their stability properties has been derived. Hopf bifurcation of the coexisting equilibrium point is presented for both the delayed and non-delayed system. Detail numerical simulations are performed in support of analytical results and illustrate the different dynamical regimes observed in the system. We have observed that the system becomes free of infection when the latent time of the pest is large. Coexisting equilibrium exists for the lower value of latent delay, and it can change the stability properties from stable to unstable when it crosses its critical value. In contrast, gestation delay affects the stability switches of coexisting equilibrium only. The combined effect of the two delays on the system is shown numerically. Also, viral replication rate, infection rate (from virus to pest) is also significant from the pest management perspective. In summary, both the delay is essential for crop pest management, and pest control will be successful with tolerable delays.


2007 ◽  
Vol 6 (1) ◽  
pp. 185-186
Author(s):  
E COSENTINO ◽  
E RINALDI ◽  
D DEGLIESPOSTI ◽  
S BACCHELLI ◽  
D DESANCTIS ◽  
...  

2004 ◽  
Vol 49 (3) ◽  
pp. 337-338
Author(s):  
Robert T. Ammerman
Keyword(s):  

PsycCRITIQUES ◽  
2004 ◽  
Vol 49 (Supplement 14) ◽  
Author(s):  
Christine T. Chambers ◽  
Elizabeth A. Job
Keyword(s):  

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