# Table 1 Parameters in the system of difference equations ( 1 )-( 7 )

Parameter Definition $$\boldsymbol{t=25^{\circ}}\mathbf{C}$$ $$\boldsymbol{t=27^{\circ}}\mathbf{C}$$ $$\boldsymbol{t=30^{\circ}}\mathbf{C}$$
• Mealybugs
$$\alpha_{1}$$ The fraction of mealybug’s eggs that develop into instar mealybugs in one time step 0.1075 0.1163 0.1493
$$\alpha_{2}$$ The fraction of instar mealybugs that develop into adult mealybugs in one time step 0.0435 0.0482 0.0388
$$\alpha_{3}$$ The natural death rate of adult mealybugs 0.0612 0.0665 0.0596
$$\alpha_{4}$$ The fraction of female adult mealybugs in the reproductive period 0.4591 0.4991 0.4468
$$r_{1}$$ The survival rate of mealybug’s eggs that develop into instar mealybugs 0.8900 0.8700 0.9120
$$r_{2}$$ The survival rate of instar mealybugs that develop into adult mealybugs 0.7737 0.6079 0.6589
$$r_{3}$$ The fraction of female adult mealybugs 0.7400 0.7200 0.8500
$$v_{1}$$ The average number of eggs laid by a female adult mealybug in one time step 40.0000 36.5300 2.9126
• Green lacewings
$$\gamma_{1}$$ The fraction of green lacewing’s eggs that develop into larva green lacewing in one time step 0.1639 0.2222 0.2703
$$\gamma_{2}$$ The fraction of larva green lacewings that develop into pupa green lacewing in one time step 0.0521 0.0585 0.00625
$$\gamma_{3}$$ The fraction of pupa green lacewings that develop into adult green lacewings in one time step 0.0714 0.0885 0.1053
$$\delta_{2}$$ The natural death rate of adult green lacewings 0.0227 0.0175 0.0206
$$s_{1}$$ The survival rate of green lacewing’s eggs that develop into larva green lacewing 0.8040 0.8210 0.8170
$$s_{2}$$ The survival rate of larva green lacewing that develop into pupa green lacewing 0.9191 0.9629 0.7938
$$s_{3}$$ The survival rate of pupa green lacewing that develop into adult green lacewings 0.9586 0.9614 0.7402
$$s_{4}$$ The fraction of female adult green lacewings 0.5400 0.5500 0.4850
$$v_{2}$$ The average number of eggs laid by a female adult green lacewings in one time step 7.2789 5.8237 2.3876